Solitary waves of the RLW equation via least squares method
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.0, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 0
- Basım Tarihi: 2021
- Doi Numarası: 10.1515/ijnsns-2021-0216
- Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
- Derginin Tarandığı İndeksler: Scopus, Aerospace Database, Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: interaction of two solitary waves, quartic B-spline, RLW equation, single solitary wave, wave undulation, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, GALERKIN METHOD, ALGORITHM, SCHEME
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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.