Copy For Citation
Ersoy Hepson Ö., Dağ İ., Saka B., Ay B.
International Journal Of Nonlinear Sciences And Numerical Simulation, vol.0, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
0
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Publication Date:
2021
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Doi Number:
10.1515/ijnsns-2021-0216
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Journal Name:
International Journal Of Nonlinear Sciences And Numerical Simulation
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
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Keywords:
interaction of two solitary waves, quartic B-spline, RLW equation, single solitary wave, wave undulation, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, GALERKIN METHOD, ALGORITHM, SCHEME
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Eskisehir Osmangazi University Affiliated:
Yes
Abstract
Integration using least squares method in space and Crank-Nicolson approach in time is managed to set up an algorithm to solve the RLW equation numerically. Trial functions in the least square method consist of a combination of the quartic B-spline functions. Integration of the RLW equation gives a system of algebraic equations. The solutions consisting of a combination of the quartic B-splines are given for some initial and boundary value problems of RLW equation.