Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method
type: Item
instance of: scholarly article
title: Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method
zbMATH Open document ID: 1184.65094
DOI: 10.1155/2009/370765
author: Murat Sari
author: Gurhan Gurarslan
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45834
review text: Summary: Numerical solutions of the generalized Burgers-Huxley equation are obtained using a polynomial differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time is used. The computed results with the use of this technique are compared with the exact solution to show the required accuracy of it. Since the scheme is explicit, linearization is not needed and the approximate solution to the nonlinear equation is obtained easily. The effectiveness of this method is verified through illustrative examples. The present method is seen to be a very reliable alternative method to some existing techniques for such realistic problems.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 5632476
zbMATH Keywords: numerical examples
zbMATH Keywords: semidiscretization
zbMATH Keywords: Burgers-Huxley equation
zbMATH Keywords: polynomial differential quadrature method
zbMATH Keywords: total variation diminishing Runge-Kutta scheme
Wikidata QID: Q58648973
MaRDI profile type: Publication
OpenAlex ID: W2044675746
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description: scientific article; zbMATH DE number 5632476