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), vol.2334, 2021 (SCI-Expanded) identifier identifier


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.