Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

Abstract

In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve theregularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometricB-spline function in space discretization together with second and fourth order schemes in time discretization. Theaccuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exactsolution and some previous results.