Solving the generalized Burgers-Huxley equation using the Adomian decomposition method

Authors:
I. Hashim;M. S. M. Noorani;M. R. Said Al-Hadidi
Affiliations:
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

Citing 3
Cited 1

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Adomian decomposition method for solving BVPs for fourth-order integro-differential equations

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A fourth-order numerical scheme for solving the modified Burgers equation

Computers & Mathematics with Applications

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Abstract

In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to the generalized nonlinear Burgers-Huxley equation is presented. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.