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

• 2015
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Publication Information
Authors D. A. Hammada, M. S. El-Azab
Keywords Not Available
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publication.type International
Paper Link Open Link
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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.