2N order compact finite difference scheme with collocation method for solving the generalized Burger’s–Huxley and Burger’s–Fisher equations

D.A. Hammad and M.S. El-Azab

Applied Mathematics and Computation, 2015, vol. 258, issue C, 296-311

Abstract: The generalized Burger’s–Huxley and Burger’s–Fisher equations are solved by fully different numerical scheme. The equations are discretized in time by a new linear approximation scheme and in space by 2N order compact finite difference scheme, after that a collocation method is applied. Also, the two-dimensional unsteady Burger’s equation is described by our proposed scheme. Numerical experiments and numerical comparisons are presented to show the efficiency and the accuracy of the proposed scheme.

Keywords: 2N order compact finite difference scheme; Collocation method; Generalized Burger’s–Huxley equation; Generalized Burger’s–Fisher equation; Two-dimensional unsteady Burger’s equation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:296-311

DOI: 10.1016/j.amc.2015.02.009

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