Combining B-spline least-square schemes with different weight functions to solve the generalized regularized long wave equation

Abstract

For solving differential equations, a variety of numerical methods are available, accuracy, performance, and application are all different. In this article, we proposed new numerical techniques for solving the generalized regularized long wave equation(GRLWE) that are based on types M and M-1 of B-splines-least-square method (BSLSM) and weight function of B-splines respectively, which were proposed previously for solving integro-differential equations [2] where $Min {N}$.  We investigated linear stability using a Fourier method.