Discontinuous Legendre wavelet Galerkin method for the generalised Burgers-Fisher equation

摘要

This paper presents discontinuous Legendre wavelet Galerkin (DLWG) technique for solving the generalised Burgers-Fisher equation. Weak formulation of this equation and numerical fluxes are addressed by utilising the advantages of the both Legendre wavelet and discontinuous Galerkin (DG) approach. Finally, numerical experiments demonstrate the validity and utility of the DLWG method.