Homotopy Analysis Method Analytical Scheme for Developing a Solution to Partial Differential Equations in Fuzzy Environment

نویسندگان

چکیده

Partial differential equations are known to be increasingly important in today’s research, and their solutions paramount for tackling numerous real-life applications. This article extended the analytical scheme of homotopy analysis method (HAM) develop an approximate solution Fuzzy Differential Equations (FPDEs). The used its powerful tools, auxiliary function convergence-control parameter, optimization, which ensures convergence series addition considering all necessary concepts from fuzzy set theory provide high precision environment. Furthermore, efficiency was shown by applying proposed linear nonlinear cases Reaction–Diffusion Equation (FRDE) Wave (FWE).

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ژورنال

عنوان ژورنال: Fractal and fractional

سال: 2022

ISSN: ['2504-3110']

DOI: https://doi.org/10.3390/fractalfract6080419