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Article

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

by
H. Rouhparvar
*,
S. Abbasbandy
and
T. Allahviranloo
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
Published: 1 December 2010
Versions Notes

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

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MDPI and ACS Style

Rouhparvar, H.; Abbasbandy, S.; Allahviranloo, T. Existence and Uniqueness of Solution of an Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Adomian Decomposition Method. Math. Comput. Appl. 2010, 15, 404-419. https://doi.org/10.3390/mca15030404

AMA Style

Rouhparvar H, Abbasbandy S, Allahviranloo T. Existence and Uniqueness of Solution of an Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Adomian Decomposition Method. Mathematical and Computational Applications. 2010; 15(3):404-419. https://doi.org/10.3390/mca15030404

Chicago/Turabian Style

Rouhparvar, H., S. Abbasbandy, and T. Allahviranloo. 2010. "Existence and Uniqueness of Solution of an Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Adomian Decomposition Method" Mathematical and Computational Applications 15, no. 3: 404-419. https://doi.org/10.3390/mca15030404

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