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The Approximate Solution of Non-linear Stochastic Diffusion Equation using Symbolic WHEP, Different Correction Levels

Noha A. Al‐Mulla

Abstract: In this paper, a stochastic perturbed nonlinear diffusion equation is studied under a stochastic nonlinear nonhomogeneity. The Pickard approximation method is used to introduce a reference first order approximate solution. Under different correction levels, the WHEP technique is used to obtain approximate solutions. Using Mathematica‐5, the solution algorithm is operated and several comparisons among correction levels together with error curves have been demonstrated. The method of solution is illustrated through case studies and figures.
Keywords: partial differential equation / stochastic analysis / first order / diffusion equation / functional analysis

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