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

Authors: Xiaoyang Zheng; Yong Fu; Zhengyuan Wei

Addresses: College of Science, Chongqing University of Technology, 400054, Chongqing, China ' College of Science, Chongqing University of Technology, 400054, Chongqing, China ' College of Science, Chongqing University of Technology, 400054, Chongqing, China

Abstract: 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.

Keywords: Legendre wavelet; discontinuous Galerkin method; wavelet Galerkin method; discontinuous Legendre wavelet Galerkin method.

DOI: 10.1504/IJCSM.2018.090726

International Journal of Computing Science and Mathematics, 2018 Vol.9 No.1, pp.82 - 89

Received: 14 Oct 2016
Accepted: 02 Jun 2017

Published online: 27 Mar 2018 *

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