### Numerical Solution of the Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Variational Iteration Method

Hamid ROUHPARVAR, Saeid ABBASBANDY

#### Abstract

In this paper, the uncertain characteristic Cauchy reaction-diffusion equation is solved by the variational iteration method. The uncertain characteristic Cauchy problem is converted to a system of characteristic Cauchy problems by parametric representation and LU-fuzzy representation of fuzzy numbers. Also, using the variational iteration method and 2 representations of fuzzy numbers, 2 representations of approximate fuzzy solution are found and compared. Finally, the method is explained by 2 illustrative examples.

doi:10.14456/WJST.2014.73

#### Keywords

Uncertain characteristic Cauchy problem, LU-fuzzy representation, parametric representation, variational iteration method

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