Exact fuzzy solution of the fuzzy heat-like equations
Lalla Saadia Chadli, Atimad Harir, Said Melliani
TL;DR
This paper presents exact fuzzy solutions for heat-like equations using Buckley-Feuring and variational iteration methods, demonstrating their effectiveness through multiple examples.
Contribution
It introduces a new theorem for Buckley-Feuring solutions and applies two methods to obtain exact fuzzy solutions for heat equations.
Findings
Methods reliably produce exact fuzzy solutions.
Solutions demonstrate efficiency and accuracy.
Theorems extend fuzzy heat equation solutions.
Abstract
In this paper, the Buckley-Feuring method (BFM) and the variational iteration method (VIM) are used for find exact fuzzy solution of the fuzzy heat-like equations in one and two dimensions. Several examples are given to show the new theorem of Buckley-Feuring solution and the Seikkala solution. The results obtained in all cases show the reliability and the efficiency of this methods.
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Taxonomy
TopicsFractional Differential Equations Solutions · Fuzzy Systems and Optimization · Nonlinear Differential Equations Analysis