Metrics
Education
2012 - 2015
2012 - 2015Doctorate
Eskisehir Osmangazi University, FEN BİLİMLERİ ENSTİTÜSÜ, Matematik-Bilgisayar Bilimleri (Dr), Turkey
2009 - 2012
2009 - 2012Postgraduate
Eskisehir Osmangazi University, FEN BİLİMLERİ ENSTİTÜSÜ, Matematik-Bilgisayar Bilimleri (Yl) (Tezli), Turkey
2006 - 2009
2006 - 2009Undergraduate
Eskisehir Osmangazi University, Fen-Edebiyat Fakültesi, Matematik Bölümü, Turkey
Dissertations
2015
2015Doctorate
Bazı kısmi diferensiyel denklem sistemlerinin üstel kübik B-spline kolokeyşın çözümlerinin üretilmesi
Eskisehir Osmangazi University, FEN BİLİMLERİ ENSTİTÜSÜ, Matematik-Bilgisayar Bilimleri (Dr)
2012
2012Postgraduate
Singularly perturbed diferensiyel denkleminin geometrik olarak değişen sonlu elemanlarda B-spline fonksiyonları yardımıyla çözümü
Eskisehir Osmangazi University, FEN BİLİMLERİ ENSTİTÜSÜ, Matematik-Bilgisayar Bilimleri (Yl) (Tezli)
Foreign Languages
B2 Upper Intermediate
B2 Upper IntermediateEnglish
Research Areas
Research Areas Based on Academic Activities
Avesis Research Areas
WoS Research Areas
Scopus Research Areas
Academic Positions
2023 - Present
2023 - PresentAssociate Professor
Eskisehir Osmangazi University, FEN FAKÜLTESİ, MATEMATİK VE BİLGİSAYAR BİLİMLERİ BÖLÜMÜ
2021 - 2023
2021 - 2023Associate Professor
Eskisehir Osmangazi University, FEN FAKÜLTESİ, MATEMATİK VE BİLGİSAYAR BİLİMLERİ BÖLÜMÜ
2009 - 2021
2009 - 2021Research Assistant PhD
Eskisehir Osmangazi University, FEN FAKÜLTESİ, MATEMATİK VE BİLGİSAYAR BİLİMLERİ BÖLÜMÜ
Managerial Experience
2024 - Present
2024 - PresentDeputy Head of Department
Eskisehir Osmangazi University, FEN FAKÜLTESİ, MATEMATİK VE BİLGİSAYAR BİLİMLERİ BÖLÜMÜ
2022 - Present
2022 - Present-
Eskisehir Osmangazi University, Rektörlük, Kütüphane Dök.Dai.Bşk.
2022 - Present
2022 - PresentMember of the Faculty Board
Eskisehir Osmangazi University, FEN FAKÜLTESİ
2021 - Present
2021 - PresentApplied Research Center Board Member
Eskisehir Osmangazi University, Rektörlük, Kurumsal İletişim Uygulama Ve Araştırma Merkezi
Courses
Postgraduate
ADİ DİFERENSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMLERİ II
ADİ DİFERENSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMLERİ I
ADİ DİFERENSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMLERİ II
KISMİ TÜREVLİ DENKLEMLERİN NÜMERİK ÇÖZÜMLERİ I
ADİ DİFERENSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMLERİ I
KISMİ TÜREVLİ DENKLEMLERİN NÜMERİK ÇÖZÜMLERİ II
Undergraduate
İNTERNET PROGRAMLAMA II
NÜMERİK ANALİZ II
GENEL MATEMATİK II
MATEMATİK
İNTERNET PROGRAMLAMA I
NÜMERİKK ANALİZ II
MATEMATİK I
GENEL MATEMATİK I
İNTERNET PROGRAMLAMA II
NÜMERİK ANALİZ
NÜMERİKK ANALİZ I
İNTERNET PROGRAMLAMA II
NÜMERİKK ANALİZ II
NÜMERİKK ANALİZ
İNTERNET PROGRAMLAMA I
GENEL MATEMATİK I
GENEL MATEMATİK II
MATEMATİK I
MATEMATİK II
NÜMERİK ANALİZ
İNTERNET PROGRAMLAMA
DİFERENSİYEL DENKLEMLER
GENEL MATEMATİK
NÜMERİKK ANALİZ
Analiz
Nümerik Analiz
Genel Matematik I
Genel Matematik I
Diferensiyel Denklemler
Fark Denklemleri II
Nümerik Analiz II
Fark Denklemleri II
Matematik I
Articles
2026
20261. Wave propagation and bifurcation phenomena in the generalized equal width equation with dual-power nonlinearity
Saha A., ERSOY HEPSON Ö., Ak T., Osman M. S., Chettri Y., Ghatani Y.
Mathematics and Computers in Simulation , vol.249, pp.411-427, 2026 (SCI-Expanded, Scopus)
2025
20252. Trigonometric Cubic B-Spline Least Squares Algorithm for Solitary Wave Propagation
DAĞ İ., Ay B., SAKA B., ERSOY HEPSON Ö.
Mathematical Methods in the Applied Sciences , 2025 (SCI-Expanded, Scopus)
2024
20243. A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines
Yigit G., ERSOY HEPSON Ö., Allahviranloo T.
Mathematical Sciences , vol.18, no.1, pp.17-28, 2024 (SCI-Expanded, Scopus)
2024
20244. High Order Predictor–Corrector Cubic B-Spline Collocation Method for Modeling Solitary Waves
SAKA B., ERSOY HEPSON Ö., DAĞ İ.
Proceedings of the National Academy of Sciences India Section A - Physical Sciences , vol.94, no.1, pp.83-98, 2024 (SCI-Expanded, Scopus)
2024
20245. Modeling of solitary waves via higher-order predictor-corrector scheme
SAKA B., ERSOY HEPSON Ö., DAĞ İ.
Journal of Taibah University for Science , vol.18, no.1, 2024 (SCI-Expanded, Scopus)
2023
20236. Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method
SAKA B., DAĞ İ., ERSOY HEPSON Ö.
Mathematical Sciences , vol.17, no.4, pp.491-502, 2023 (SCI-Expanded, Scopus)
2023
20237. Numerical Solutions of Advection-Diffusion Equation via Quartic B-Spline Least Squares Method
Ay B., SAKA B., ERSOY HEPSON Ö., DAĞ İ.
Eskisehir Osmangazi University , vol.4, 2023 (Peer-Reviewed Journal)
2022
20228. A numerical scheme for the wave simulations of the Kuramoto–Sivashinsky model via quartic-trigonometric tension B-spline
ERSOY HEPSON Ö., Yigit G.
Wave Motion , vol.114, 2022 (SCI-Expanded, Scopus)
2022
20229. A quartic trigonometric tension B-spline finite element method for solving Gardner equation
ERSOY HEPSON Ö.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , vol.38, no.4, pp.1055-1067, 2022 (SCI-Expanded, Scopus)
2022
202210. A higher-order efficient approach to numerical simulations of the RLW equation
DAĞ İ., ERSOY HEPSON Ö., SAKA B.
Pramana - Journal of Physics , vol.96, no.1, 2022 (SCI-Expanded, Scopus)
2022
202211. An expansion based on Sine-Gordon equation to Solve KdV and modified KdV equations in conformable fractional forms
ERSOY HEPSON Ö., KORKMAZ A., HOSSEINI K., REZAZADEH H., ESLAMI M.
Boletim da Sociedade Paranaense de Matemática , vol.40, 2022 (ESCI, Scopus)
2022
202212. The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation
Hepson Ö., Dağ İ., Saka B., Ay B.
International Journal of Computer Mathematics , vol.99, no.5, pp.993-1004, 2022 (SCI-Expanded, Scopus)
2021
202113. Solitary waves of the RLW equation via least squares method
Ersoy Hepson Ö., Dağ İ., Saka B., Ay B.
International Journal Of Nonlinear Sciences And Numerical Simulation , vol.0, 2021 (SCI-Expanded, Scopus)
2021
202114. Numerical simulations of reaction–diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines
Ersoy Hepson Ö., Yiğit G., Allahviranloo T.
Computational and Applied Mathematics , vol.40, no.4, 2021 (SCI-Expanded, Scopus)
2021
202115. Numerical simulations of Kuramoto-Sivashinsky equation in reaction-diffusion via Galerkin method
Ersoy Hepson Ö.
MATHEMATICAL SCIENCES , vol.15, no.2, pp.199-206, 2021 (SCI-Expanded, Scopus)
2021
202116. Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation
Ersoy Hepson Ö., Yigit G.
Computational and Applied Mathematics , vol.40, no.4, 2021 (SCI-Expanded, Scopus)
2021
202117. Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method
ERSOY HEPSON Ö., DAĞ İ.
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.22, pp.119-133, 2021 (SCI-Expanded, Scopus)
2021
202118. Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of RLW equation
Dağ İ., Ersoy Hepson Ö.
AIP CONFERENCE PROCEEDINGS , vol.2334, 2021 (Peer-Reviewed Journal)
2021
202119. Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation
Dağ İ., Ersoy Hepson Ö.
AIP CONFERENCE PROCEEDINGS , vol.2334, pp.1-6, 2021 (Peer-Reviewed Journal)
2021
202120. An Exponential Cubic B-spline Algorithm for Solving the Nonlinear Coupled Burgers’ Equation
Ersoy Hepson Ö., Dağ İ.
Computational Methods for Differential Equations , vol.9, no.4, pp.1109-1127, 2021 (ESCI, Scopus)
2020
202021. Numerical Investigations of the Solutions of Schrödinger Equation with Exponential Cubic B-Spline Finite Element Method
Ersoy Hepson Ö., Dağ İ.
International Journal Of Nonlinear Sciences And Numerical Simulation , vol.22, pp.1-15, 2020 (SCI-Expanded, Scopus)
2020
202022. Exponential B-spline collocation solutions to the Gardner equation
ERSOY HEPSON Ö., KORKMAZ A., Dag İ.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
, vol.97, no.4, pp.837-850, 2020 (SCI-Expanded, Scopus)
2020
202023. A quartic trigonometric tension b-spline algorithm for nonlinear partial differential equation system
Ersoy Hepson Ö.
Engineering Computations (Swansea, Wales) , vol.38, no.5, pp.2293-2311, 2020 (SCI-Expanded, Scopus)
2020
202024. Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-classac
Korkmaz A., Ersoy Hepson Ö., Hosseini K., Rezazadeh H., Eslami M.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE , vol.32, pp.567-574, 2020 (SCI-Expanded, Scopus)
2019
201925. ON THE NUMERICAL SOLUTION OF THE KLEIN-GORDON EQUATION BY EXPONENTIAL CUBIC B-SPLINE COLLOCATION METHOD
Ersoy Hepson Ö., Korkmaz A., Dağ İ.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
, vol.68, no.1, pp.412-421, 2019 (ESCI, TRDizin)
2019
201926. EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION
Hepson Ö., Korkmaz A., Dag İ.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS , vol.9, no.2, pp.267-278, 2019 (ESCI, Scopus, TRDizin)
2018
201827. Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method
ERSOY HEPSON Ö.
Sakarya University Journal of Science
, vol.22, pp.1, 2018 (TRDizin)
2018
201828. Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers' Equation
ERSOY HEPSON Ö., Dag İ., ADAR N.
UKRAINIAN MATHEMATICAL JOURNAL , vol.70, no.6, pp.906-921, 2018 (SCI-Expanded, Scopus)
2018
201829. Numerical solutions of the Gardner equation by extended form of the cubic B-splines
ERSOY HEPSON Ö., KORKMAZ A., Dag İ.
PRAMANA-JOURNAL OF PHYSICS
, vol.91, no.4, 2018 (SCI-Expanded, Scopus)
2018
201830. Solitary wave simulations of Complex Modified Korteweg-de Vries (CMKdV) Equation using Quintic Trigonometric B-Spline
Ersoy Hepson Ö.
Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler
, vol.6, no.2, pp.193-205, 2018 (TRDizin)
2018
201831. Generation of the trigonometric cubic B-spline collocation solutions for the Kuramoto-Sivashinsky(KS) equation
ERSOY HEPSON Ö.
AIP Conference Proceedings , vol.1978, 2018 (Peer-Reviewed Journal)
2018
201832. An extended cubic B–spline finite element method for solving generalized Burgers–Fisher equation
ERSOY HEPSON Ö.
AIP Conference Proceedings , vol.1978, 2018 (Peer-Reviewed Journal)
2018
201833. Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
ERSOY HEPSON Ö., DAĞ İ.
Applied Mathematics & Information Sciences
, vol.12, no.3, pp.495-500, 2018 (Scopus)
2018
201834. Traveling waves in rational expressions of exponential functions to the conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations
KORKMAZ A., ERSOY HEPSON Ö.
OPTICAL AND QUANTUM ELECTRONICS
, vol.50, no.1, 2018 (SCI-Expanded, Scopus)
2017
201735. The Trigonometric Cubic B-spline Algorithm for Burgers’ Equation
DAĞ İ., ERSOY HEPSON Ö., KAÇMAZ Ö.
International Journal of Nonlinear Science , vol.24, no.2, pp.120-128, 2017 (Peer-Reviewed Journal)
2017
201736. The Numerical Approach to the Fisher’xxs Equation via Trigonometric Cubic B-spline Collocation Method
ERSOY HEPSON Ö., DAĞ İ.
Communications in Numerical Analysis , vol.2017, no.2, pp.91-100, 2017 (Peer-Reviewed Journal)
2017
201737. Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
KORKMAZ A., ERSOY HEPSON Ö., DAĞ İ.
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , vol.77, no.2, pp.507-526, 2017 (SCI-Expanded, Scopus)
2016
201638. Exponential B-Splines for Numerical Solutions to Some Boussinesq Systems for Water Waves
ERSOY HEPSON Ö., KORKMAZ A., DAĞ İ.
MEDITERRANEAN JOURNAL OF MATHEMATICS
, vol.13, no.6, pp.4975-4994, 2016 (SCI-Expanded, Scopus)
2016
201639. The exponential cubic B-spline algorithm for Fisher equation
DAĞ İ., ERSOY HEPSON Ö.
CHAOS SOLITONS & FRACTALS , vol.86, pp.101-106, 2016 (SCI-Expanded, Scopus)
2016
201640. The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation
ERSOY HEPSON Ö., DAĞ İ.
FILOMAT
, vol.30, no.3, pp.853-861, 2016 (SCI-Expanded, Scopus)
2015
201541. The extended B spline collocation method for numerical solutions of Fisher equation
ERSOY HEPSON Ö., DAĞ İ.
AIP Conference Proceedings , vol.1648, no.370011, 2015 (Peer-Reviewed Journal)
2015
201542. Numerical solution of generalized Burgers Fisher equation by exponential cubic Bsplinecollocation method
DAĞ İ., ERSOY HEPSON Ö.
AIP Conference Proceedings , vol.1648, no.370008, 2015 (Peer-Reviewed Journal)
2015
201543. The exponential cubic B spline algorithm for equal width equation
DAĞ İ., ERSOY HEPSON Ö.
ADVANCED STUDIES IN CONTEMPORARY MATHEMATICS (KYUNGSHANG) , vol.25, no.4, pp.525-535, 2015 (Peer-Reviewed Journal)
2015
201544. The exponential cubic spline algorithm for equal width equation
DAĞ İ., ERSOY HEPSON Ö.
Advanced Studies in Contemporary Mathematics , vol.25, no.4, pp.525-535, 2015 (Scopus)
2015
201545. Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms
ERSOY HEPSON Ö., Dag İ.
OPEN PHYSICS , vol.13, no.1, pp.414-427, 2015 (SCI-Expanded, Scopus)
2015
201546. The Exponential Cubic B Spline Algorithm for Korteweg de Vries Equation
Ersoy Hepson Ö., Dağ İ.
Advances in Numerical Analysis , vol.2015, no.42015, pp.1-8, 2015 (Peer-Reviewed Journal)
Papers Presented at Peer-Reviewed Scientific Conferences
2026
20261. Integration of the Regularised Long Wave Equation via High Order Predictor-Corrector scheme along with Quartic B-spline Finite Element Method
Dağ İ., Saka B., Ersoy Hepson Ö.
8th International Conference on Applied Physics, Simulation and Computing (APSAC), Rome, Italy, 19 - 21 June 2026, pp.1-10, (Summary Text)
2026
20262. Simulation of Solitary Waves Using a Multistep Predictor-Corrector Cubic B-Spline Galerkin Algorithm
Ersoy Hepson Ö., Dağ İ., Saka B.
8th International Conference on Applied Physics, Simulation and Computing (APSAC) , 2026, Rome, Italy, 19 - 21 June 2026, pp.1-10, (Summary Text)
2025
20253. SIMILATION OF FITZHUGH-NAGUMO EQUATİON VIA CUBIC TRIGONOMETRIC B-SPLINE COLLOCATION METHOD
ERSOY HEPSON Ö., KAYMAK K.
14th INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, Turkey, 25 - 26 April 2025, (Full Text)
2024
20244. Trigonometric Cubic B-spline Least Squares Algorithm for Solitary Wave Propogation
DAĞ İ., Ay B., SAKA B., ERSOY HEPSON Ö.
International Conference on Modern Problems of Mathematics, Mechanics and their Applications, Azerbaijan, 20 - 22 June 2024, (Summary Text)
2020
20205. Least Squares Method for the Numerical Solution of Advection-Diffusion Equation
DAĞ İ., ERSOY HEPSON Ö.
MAS 13th International European Conference on Mathematics, Engineering, Natural Medical Science, Afghanistan, 23 - 25 October 2020, (Full Text)
2020
20206. Numerical Investigations of Physical Processes for Regularized Long Wave Equation
ERSOY HEPSON Ö., YİĞİT G.
The 4th Online International Conference on Intelligent Decision Sciences (IDS 2020), 7 - 08 August 2020, (Full Text)
2020
20207. Hyperbolic-trigonometric Tension B-spline Galerkin Approach for the Solution of RLW Equation”
DAĞ İ., ERSOY HEPSON Ö.
Fourth International Conference of Mathematical Sciences (ICMS 2020), 17 - 21 June 2020, (Full Text)
2019
20198. Numerical Solution of the Time Fractional Korteweg-de Vries Equation by way of Quintic Trigonometric B-spline Integrator
Ersoy Hepson Ö., Dağ İ.
5th International Conference on Engineering and Natural Science, Praha, Czech Republic, 12 - 16 June 2019, pp.13-21, (Full Text)
2019
20199. Exponential B-spline Solution for the Time Fractional Burgers’ Equation
Ersoy Hepson Ö., Dağ İ.
5th International Conference on Engineering and Natural Science, Praha, Czech Republic, 12 - 16 June 2019, pp.123-131, (Full Text)
2019
201910. The Cubic Trigonometric B-spline Galerkin Method for the Fisher Equation
ERSOY HEPSON Ö., DAĞ İ.
5th International Conference on Engineering and Natural Science, PRAG, Czech Republic, 12 - 16 June 2019, pp.81-90, (Full Text)
2017
201711. Finite Element Method for Schnakenberg Model
Ersoy Hepson Ö., Dag İ.
International Symposium on Mathematical Methods in Engineering (MME), Ankara, Turkey, 27 - 29 April 2017, vol.24, pp.41-51, (Full Text)
2017
201712. Finite element method for Schnackenberg model
ERSOY HEPSON Ö., DAĞ İ.
The International Workshop on Mathematical Methods in Engineering (MME2017), 27 - 29 April 2017, pp.41-51, (Full Text)
2018
201813. Study on Time Fractional Korteweg-de Vries Equation via Subdomain Galerkin Method
ERSOY HEPSON Ö.
INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians”Minisymposium on Approximation Theory Minisymposium on Math Education”, 3 - 06 July 2018, (Summary Text)
2018
201814. Trigonometric B-spline Collocation and Galerkin methods for Time Fractional Burgers’ Equation
ERSOY HEPSON Ö., DAĞ İ.
INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians”Minisymposium on Approximation Theory Minisymposium on Math Education”, 3 - 06 July 2018, (Summary Text)
2017
201715. A cubic subdomain Galerkin method over the geometrically graded mesh to the singularly perturbed problem
Ersoy Hepson Ö., Dag İ.
6th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2017, Budapest, Hungary, 15 - 18 August 2017, vol.1926, (Full Text)
2017
201716. An Extended Cubic B-spline Finite Element Method for Solving Generalized Burgers-Fisher Equation
ERSOY HEPSON Ö.
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Thessaloniki, Greece, 25 - 30 September 2017, vol.1978, (Full Text)
2017
201717. Higher Order Trigonometric B-spline Algorithms to the Solution of Coupled Burgers' Equation
Tok Onarcan A., Ersoy Hepson Ö.
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Hungary, 15 - 17 August 2017, vol.1926, (Full Text)
2017
201718. Generation Of The Trigonometric Cubic B-spline Collocation Solutions for the Kuramoto-Sivashinsky(KS) Equation
ERSOY HEPSON Ö.
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Thessaloniki, Greece, 25 - 30 September 2017, vol.1978, (Full Text)
2017
201719. Hyperbolic tangent solution to the conformable time fractional Zakharov-Kuznetsov Equation in 3D space
KORKMAZ A., ERSOY HEPSON Ö.
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Hungary, 15 - 17 August 2017, vol.1926, (Full Text)
2017
201720. Numerical Study Based on Trigonometric B-splines for Boussinesq System of the Bona-Smith Family
ERSOY HEPSON Ö.
International Congress on Fundamental and Applied Sciences 2017 (ICFAS2017), 21 - 25 August 2017, (Summary Text)
2017
201721. A NUMERICAL APPROXIMATION TO THE SOLUTIONS OF THE CAHN-HILLARD EQUATION
TOK ONARCAN A., ADAR N., ERSOY HEPSON Ö., DAĞ İ.
International Congress on Fundamental and Applied Sciences 2017 (ICFAS2017), Sarajevo, Bosnia And Herzegovina, 21 - 25 August 2017, (Summary Text)
2017
201722. Traveling waves in rational Expressions of Exponential Functions to theConformable Time Fractional Jimbo-Miwa and Zahharov-Kuznetsov Equations
KORKMAZ A., ERSOY HEPSON Ö.
International Congress on Fundamental and Applied Sciences 2017 (ICFAS2017), 21 - 25 August 2017, (Summary Text)
2017
201723. Traveling Wave Solutions to the Conformable Fractional Modified Zakharov-Kuznetsov Equation via Simple Ansat
KORKMAZ A., ERSOY HEPSON Ö.
3rd International Conference on Symmetries, Differential Equations and Applications (SDEA III), 14 - 17 August 2017, (Summary Text)
2017
201724. Higher order Trigonometric B-spline Approximates
ERSOY HEPSON Ö., KORKMAZ A.
Mathematic Days in Sofia (MDS 2017), sofya, Bulgaria, 10 - 14 July 2017, (Summary Text)
2017
201725. Least Squares Method for the numerical solution of Burgers’xx Equation
SAKA B., ERSOY HEPSON Ö.
International Conference on Applied Analysis and Mathematical Modelling (ICAAMM2017), İstanbul, Turkey, 3 - 07 July 2017, (Summary Text)
2017
201726. Solitary wave simulations of Complex Modified Korteweg–de Vries(CMKdV) Equation using Quintic Trigonometric B-Spline
ERSOY HEPSON Ö.
International Conference on Mathematics and Engineering (ICOME 2017), 10 - 12 May 2017, (Summary Text)
2017
201727. Numerical Solutions of the Gardner Equation via Quintic Trigonometric B-Spline Collocation Method
ERSOY HEPSON Ö.
International Conference on Mathematics and Engineering (ICOME 2017), 10 - 12 May 2017, (Summary Text)
2017
201728. A Quartic Trigonometric B-spline Collocation Method for Solving the Kuramoto-Sivashinsky Equation
SAKA B., ERSOY HEPSON Ö., DAĞ İ.
The International Workshop on Mathematical Methods in Engineering (MME2017), 27 - 29 April 2017, (Summary Text)
2017
201729. A Comparative Numerical Study Based on Cubic Polynomial and Trigonometric B-splines for the Gardner Equation
ERSOY HEPSON Ö., KORKMAZ A., DAĞ İ.
The International Workshop on Mathematical Methods in Engineering (MME2017), 27 - 29 April 2017, (Summary Text)
2017
201730. Numerical Solutions of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
ERSOY HEPSON Ö., DAĞ İ.
3rd International Conference on Pure and Applied Sciences, 2 - 06 February 2017, (Summary Text)
2017
201731. Numerical Solutions of the Gardner Equation by Extended Form of the Cubic B-Splines
Ersoy Hepson Ö., Korkmaz A., Dağ İ.
3rd International Conference on Pure and Applied Sciences, Dubai, United Arab Emirates, 2 - 06 February 2017, (Summary Text)
2017
201732. Exponential B-spline Collocation Solutions to the Gardner Equation
Ersoy Hepson Ö., Korkmaz A., Dağ İ.
International Conference on Pure Applied Science (ICPAS 2017), Dubai, United Arab Emirates, 2 - 06 February 2017, (Summary Text)
2016
201633. On the Numerical Solution of the Klein Gordon Equation by Exponential B Spline Collocation Method
Ersoy Hepson Ö., Korkmaz A., Dağ İ.
Second International Conference on Analysis and its Applications, Kırşehir, Turkey, 12 - 15 July 2016, (Summary Text)
2016
201634. The Exponential Cubic B Spline Algorithms for Burgers Equation
ERSOY HEPSON Ö., DAĞ İ., ADAR N.
International Conference on Quantum Science and Applications (ICQSA 2016), 25 - 27 May 2016, (Summary Text)
2016
201635. The Numerical Approach to the Fisher s Equation viaTrigonometric Cubic B spline Collocation Method
ERSOY HEPSON Ö., DAĞ İ.
International Conference on Natural Science and Engineering, 19 - 20 March 2016, (Summary Text)
2015
201536. A Trigonometric Cubic B spline Finite Element Method for Solving the Nonlinear Coupled Burgers Equation
ERSOY HEPSON Ö., DAĞ İ.
International Conference on Advances in Applied and Computational Mechanics, İzmir, Turkey, 5 - 07 August 2015, (Summary Text)
2015
201537. The Exponential Cubic B spline Collocation Method for Kuramoto Sivashinsky KS Equation
ERSOY HEPSON Ö., DAĞ İ.
International Conference on Recent Advances in Pure and Applied Mathematics, ICRAPAM 2015, İstanbul, Turkey, 3 - 06 June 2015, (Summary Text)
2015
201538. Numerical Solutions of the Reaction Diffusion Equation System by Exponential Cubic B spline Collocation method
ERSOY HEPSON Ö., DAĞ İ.
International Conference on Applied Analysis and Mathematical Modelling, ICAAMM 2015, İstanbul, Turkey, 8 - 12 June 2015, (Summary Text)
2015
201539. Numerical Solutions of the Reaction Diffusion Equation System via Exponential Cubic B spline Collocation method
ERSOY HEPSON Ö., DAĞ İ.
International Conference on Applied Analysis and Mathematical Modelling, İstanbul, Turkey, 8 - 12 June 2015, (Summary Text)
2015
201540. The Exponential Cubic B spline Collocation Method for the Kuramoto Sivashinsky KS Equation
ERSOY HEPSON Ö., DAĞ İ.
2nd International Conference on Recent Advances in Pure and Applied Mathematics, İstanbul, Turkey, 3 - 06 June 2015, (Summary Text)
2014
201441. The Extended B-Spline Collocation Method for Numerical Solutions of Fisher Equation
Ersoy Hepson Ö., Dag İ.
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 22 - 28 September 2014, vol.1648, (Full Text)
2014
201442. Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method
Dag İ., ERSOY HEPSON Ö.
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 22 - 28 September 2014, vol.1648, (Full Text)
2014
201443. The Exponential Cubic B-Spline Algorithm for Fisher Equation
Dağ İ., Ersoy Hepson Ö.
3rd International Eurasion Conference On Mathematical Sciences and Applications (IECMSA 2014), Vienna, Austria, 25 - 28 August 2014, (Summary Text)
2014
201444. The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries (KDV) Equation
ERSOY HEPSON Ö., DAĞ İ.
3rd International Eurasion Conference On Mathematical Sciences and Applications (IECMSA 2014), Austria, 25 - 28 August 2014, (Summary Text)
2014
201445. The Exponential Cubic B-Spline Algorithm for Equal Width Equation
DAĞ İ., ERSOY HEPSON Ö.
Karatekin Mathematics Days (KMD 2014), Turkey, 11 - 13 June 2014, (Full Text)
Books
2025
20251. QUARTIC TRIGONOMETRIC TENSION B-SPLINE COLLOCATION METHOD FOR FITZHUGH-NAGUMO EQUATION
ERSOY HEPSON Ö., KAYMAK K.
in: New Approaches on Mathematical Structures, EGE ARSLAN UMMAHAN, Editor, BİDGE, pp.37-50, 2025
2025
20252. Ew denklemine çok adımlı kolokasyon yönteminin uygulanması
SAKA B., ERSOY HEPSON Ö.
in: Ew ve Adveksiyon Denklemlerinin Yaklaşık Çözümleri, GELİŞGEN ÖZCAN, Editor, serüven, pp.1-12, 2025
2025
20253. Yüksek doğruluklu kolokasyon yönteminin ew denklemine uygulanması
SAKA B., ERSOY HEPSON Ö.
in: Ew ve Adveksyion Difüzyon Denklemlerinin Yaklaşık Çözümleri, GELİŞGEN ÖZCAN, Editor, serüven, pp.13-24, 2025
2021
20214. Numerical Investigations of Physical Processes for Regularized Long Wave Equation
Ersoy Hepson Ö., Yiğit G.
in: Advances in Intelligent Systems and Computing, Tofigh Allahviranloo,Soheil Salahsour,Nafiz Arıca, Editor, Springer, London/Berlin , Zürich, pp.710-724, 2021
2019
20195. Finite element method for Schnackenberg model
Ersoy Hepson Ö., Dağ İ.
in: Mathematical Methods in Engineering, Applications in Dynamics of Complex Systems, Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado, Editor, Springer, London/Berlin , Zürich, pp.41-51, 2019
Funded Projects
2018 - 2019
2018 - 2019Zaman Kesirli Kısmi Diferansiyel Denklemlerin B-spline Sonlu Eleman Yöntemleri ile Çözümleri
Project Supported by Higher Education Institutions , BAP Research Project
ERSOY HEPSON Ö. (Executive)
2016 - 2017
2016 - 2017Gardner denkleminin bazı kübik ve kuartik B spline fonksiyon tabanlı Kolokasyon yöntemi ile sayısal çözümlerinin bulunması ve karşılaştırılması
Project Supported by Higher Education Institutions , BAP Research Project
DAĞ İ., ERSOY HEPSON Ö. (Executive)
Peer Reviews in Scientific Publications
August 2021
August 2021MATHEMATICAL SCIENCES
Journal Indexed in SCI-E
May 2021
May 2021PHYSICA SCRIPTA
Journal Indexed in SCI-E
March 2021
March 2021CHAOS SOLITONS & FRACTALS
SCI Journal
February 2021
February 2021Results In Mathematics
Journal Indexed in SCI-E
February 2021
February 2021MATHEMATICAL SCIENCES
Journal Indexed in SCI-E
February 2021
February 2021ADVANCES IN DIFFERENCE EQUATIONS
Journal Indexed in SCI-E
January 2021
January 2021MATHEMATICAL SCIENCES
Journal Indexed in SCI-E
January 2021
January 2021PHYSICA SCRIPTA
Journal Indexed in SCI-E
January 2021
January 2021MATHEMATICAL SCIENCES
Journal Indexed in SCI-E
December 2020
December 2020PHYSICA SCRIPTA
Journal Indexed in SCI-E
December 2020
December 2020INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Journal Indexed in SCI-E
December 2020
December 2020CHAOS SOLITONS & FRACTALS
SCI Journal
November 2020
November 2020MATHEMATICS AND COMPUTERS IN SIMULATION
Journal Indexed in SCI-E
November 2020
November 2020RESULTS IN MATHEMATICS
Journal Indexed in SCI-E
November 2020
November 2020INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
Journal Indexed in SCI-E
November 2020
November 2020NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Journal Indexed in SCI-E
November 2020
November 2020CHAOS SOLITONS & FRACTALS
SCI Journal
September 2020
September 2020PHYSICA SCRIPTA
Journal Indexed in SCI-E
August 2020
August 2020ADVANCES IN DIFFERENCE EQUATIONS
Journal Indexed in SSCI
May 2020
May 2020INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Journal Indexed in SCI-E
February 2020
February 2020ADVANCES IN DIFFERENTIAL EQUATIONS
Journal Indexed in SCI-E
February 2020
February 2020MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Journal Indexed in SCI-E
November 2019
November 2019NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
SCI Journal
October 2019
October 2019MATHEMATICS AND COMPUTERS IN SIMULATION
Journal Indexed in SCI-E
March 2018
March 2018TWMS Journal of Applied and Engineering Mathematics
Journal Indexed in ESCI
February 2018
February 2018MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES
Journal Indexed in ESCI
June 2017
June 2017NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Journal Indexed in SCI-E
May 2017
May 2017INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
Journal Indexed in SCI-E
May 2017
May 2017EUROPEAN PHYSICAL JOURNAL PLUS
SCI Journal
March 2017
March 2017CHAOS SOLITONS & FRACTALS
SCI Journal
Awards
February 2018
February 2018Certificate of Research Excellence
Vice President Of African Academy Of Sciences
Citations
Total Citations (WOS): 467
h-index (WOS): 11
Jury Memberships
January-2026
January 2026Post Graduate
- Eskişehir Osmangazi Üniversitesi
August-2025
August 2025Post Graduate
- Eskişehir Teknik Üniversitesi
August-2025
August 2025Doctorate
- Eskişehir Teknik Üniversitesi
January-2025
January 2025