Existence and Uniqueness of Solution of an Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Adomian Decomposition Method

Rouhparvar, H.; Abbasbandy, S.; Allahviranloo, T.

doi:10.3390/mca15030404

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Article

1 December 2010

16 Pages

Existence and Uniqueness of Solution of an Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Adomian Decomposition Method

and

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran

Author to whom correspondence should be addressed.

Math. Comput. Appl.2010, 15(3), 404-419;https://doi.org/10.3390/mca15030404

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Abstract

In this paper, the existence and uniqueness theorems for a solution to an uncertain characteristic Cauchy reaction-diffusion problem is studied by Adomian decomposition method. Sufficient conditions are presented for uniform convergence of the proposed method. Also, some illustrative examples are given for solving the problem.

Keywords:

Uncertain characteristic Cauchy problem; System of characteristic Cauchy problem; Adomian decomposition method; Parametric representation

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