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Settling Adomian Decomposition Method for Three Dimensional Fuzzy Heat and Wave Equation

Author : S Srinivashini, N Rajalakshmi, J Mugaibullah

Abstract :

The Adomian Decomposition Method is an effective method to solve linear and nonlinear functional equations. This approach includes splitting the given equation into linear and nonlinear elements, substituting the initial condition and decomposing the nonlinear function in terms of special polynomials called Adomian’s polynomials. The decomposition method of Adomian will be acquired effortlessly without linearizing the issue, by carrying out the decomposition procedure instead of the standard technique for the exact solution. In this study, we have applied Adomian Decomposition Method for three dimensional fuzzy heat partial differential equation and for fuzzy wave partial differential equation with a representation. Other than that we have furnished the Laplace Adomian Decomposition Method with a portrayal. Adomian Decomposition Method transforms the system of partial differential equations into a set of recursive relation which could be easily dealt with.

Keywords :

Adomian decomposition; fuzzy heat; fuzzy wave; laplace adomian decomposition method