Numerical study of fisher's equation by Adomian's method

Authors:
T. Mavoungou;Y. Cherruault
Affiliations:
Université Cheikh Anta DIOP, Dakar, Sénégal Senegal;Université Pierre et Marie Curie (Paris VI), MEDIMAT 15 rue de l'Ecole de Médecine, 75270 Paris Cedex 06, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1994

Citing 1
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Application of the Adomian decomposition method for the Fokker-Planck equation

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

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Numerical solution of the 1 + 2 dimensional Fisher's equation by finite elements and the Galerkin method

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Abstract

The effect of the linear operator L, used in the Adomian's method for solving nonlinear partial differential equations, on the convergence is studied on the Fisher's equation, which describes a balance between linear diffusion and nonlinear reaction. The results show that the convergence of this method is not influenced by the choice of the operator L in the equation to be solved. Furthermore, under some conditions, these results are close to those obtained by using other numerical techniques.