The Convergence Analysis of the Decomposition Method for the (1+1)-Parabolic Problem in Nonuniform Media |
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| Authors: | M M Rodrigues E M Rocha |
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| Institution: | (2) Department of Mathematics, Saint Xavier University, Chicago, USA; |
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| Abstract: | A modified Adomian decomposition method is used to find approximate solutions for the reaction diffusion convection equation
in nonuniform medium, i.e., with space-dependent coefficients. In this approach, the solutions are found in the form of a
convergent power series with easily computed components. Convergence analysis of modified Adomian series solution for a class
of these type of PDEs is discussed. |
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