Numerical approximation of generalized Burger's-Fisher and generalized Burger's-Huxley equation by compact finite difference method
type: Item
instance of: scholarly article
title: Numerical approximation of generalized Burger's-Fisher and generalized Burger's-Huxley equation by compact finite difference method
zbMATH Open document ID: 1477.65136
DOI: 10.1155/2021/3346387
author: Ravneet Kaur
author: Shallu
author: Sachin Kumar
author: V. K. Kukreja
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: In this work, computational analysis of generalized Burger's-Fisher and generalized Burger's-Huxley equation is carried out using the sixth-order compact finite difference method. This technique deals with the nonstandard discretization of the spatial derivatives and optimized time integration using the strong stability-preserving Runge-Kutta method. This scheme inculcates four stages and third-order accuracy in the time domain. The stability analysis is discussed using eigenvalues of the coefficient matrix. Several examples are discussed for their approximate solution, and comparisons are made to show the efficiency and accuracy of CFDM6 with the results available in the literature. It is found that the present method is easy to implement with less computational effort and is highly accurate also.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7452831
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/3346387
OpenAlex ID: W3212608017
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description: scientific article; zbMATH DE number 7452831