Galerkin finite element method for Benjamin-Bona-Mahony-Burgers equation

  • Sunil Shivaji Kumbhar Shivaji University, Kolhapur

Abstract

In this paper Galerkin fnite element method (FEM) is constructed to compute approximate solutions of nonlinear Benjamin-Bona-Mahony-Burgers (BBMB) equation. Initially second order explicit scheme in time variable is obtained by taking time discretization of BBMB equation and using Taylors series expansion. After that Galerkin FEM based on cubic B-splines is developed. Stability of proposed method is studied by Von-Neumann analysis. The applicability and accuracy of this method is demonstrated by comparing computed numerical solutions of some test examples by the present method with the solutions available in literature.

Published
2023-02-20