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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration

by
Murat Sari
Department of Mathematics, Faculty of Art and Science, Pamukkale University, Denizli 20070, Turkey
Math. Comput. Appl. 2011, 16(2), 477-486; https://doi.org/10.3390/mca16020477
Published: 1 August 2011
Versions Notes

Abstract

Numerical solutions of the generalized Burgers-Fisher equation are presented based on a polynomial-based differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a third-order strong stability preserving Runge-Kutta scheme in time have been used. The proposed technique successfully worked to give reliable results in the form of numerical approximation converging very rapidly. The computed results have been compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations were obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems.
Keywords: Generalized Burgers-Fisher Equation; Differential Quadrature Method; Nonlinear PDE; Strong Stability Preserving Runge-Kutta Generalized Burgers-Fisher Equation; Differential Quadrature Method; Nonlinear PDE; Strong Stability Preserving Runge-Kutta

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MDPI and ACS Style

Sari, M. Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration. Math. Comput. Appl. 2011, 16, 477-486. https://doi.org/10.3390/mca16020477

AMA Style

Sari M. Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration. Mathematical and Computational Applications. 2011; 16(2):477-486. https://doi.org/10.3390/mca16020477

Chicago/Turabian Style

Sari, Murat. 2011. "Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration" Mathematical and Computational Applications 16, no. 2: 477-486. https://doi.org/10.3390/mca16020477

APA Style

Sari, M. (2011). Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration. Mathematical and Computational Applications, 16(2), 477-486. https://doi.org/10.3390/mca16020477

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