10.1007/s40096-020-00356-3

Numerical treatment for Burgers–Fisher and generalized Burgers–Fisher equations

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  • S. Kumar1,
  • S. Saha Ray*1,
  1. Department of Mathematics, National Institute Technology Rourkela, Rourkela, Odisha, 769008, IN

Published in Issue 2020-11-18

How to Cite

Kumar, S., & Saha Ray, S. (2020). Numerical treatment for Burgers–Fisher and generalized Burgers–Fisher equations. Mathematical Sciences, 15(1 (March 2021). https://doi.org/10.1007/s40096-020-00356-3
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Abstract

Abstract In this paper, the discontinuous Legendre wavelet Galerkin method is proposed for the numerical solution of the Burgers–Fisher and generalized Burgers–Fisher equations. This method combines both the discontinuous Galerkin and the Legendre wavelet Galerkin methods. Various properties of Legendre wavelets have been used to find the variational form of the governing equation. This variational form transforms it into a system of ordinary differential equations which will be solved numerically. Some illustrative examples are presented to emphasize the efficiency and reliability of the proposed method.

Keywords

  • Burgers–Fisher equation,
  • Legendre wavelets,
  • Operational matrix for derivative,
  • Variational Form

References

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