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, cilt.0, 2021 (SCI-Expanded) identifier identifier

  • 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: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, 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.