Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of RLW equation

Dağ İ., Ersoy Hepson Ö.

AIP CONFERENCE PROCEEDINGS, cilt.2334, 2021 (Hakemli Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2334
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1063/5.0042217
  • Dergi Adı: AIP CONFERENCE PROCEEDINGS
  • Derginin Tarandığı İndeksler: Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A numerical approach is defined to get the solution of the regularized long wave (RLW) equation. The hyperbolictrigonometric tension (HTT) B-spline is adapted as a trial function to the Galerkin method. Space integration of the RLW equation is managed trough HTT B-spline Galerkin method over the finite elements. Resulting system of ordinary differential equations is integrated using the Crank Nicolson technique. Thus RLW equation is fully integrated into system of nonlinear algebraic equations. Solution of this system gives the approximate solution of the RLW equation over the given problem domain.