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Yayın Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation(Maltepe Üniversitesi, 2021) Dag, Idris; Ersoy Hepson, ÖzlemA Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolic-trigonometric tension (HTT) B-splines are used as weight and shape functions in the Galerkin approach. Fully discretization of the Fisher equation is fulfilled via Crank-Nicolson method in time and Galerkin method in space. Travelling wave front solution is studied to show robustness of the presented scheme on Fisher equation. The numerical results obtained with the present method are satisfactory with regard to its accuracy.Yayın Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of RLW equation(Maltepe Üniversitesi, 2021) Dag, Idris; Ersoy Hepson, ÖzlemA 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.