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

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