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An efficient tool for solving two‐dimensional fuzzy fractional‐ordered heat equation
Author(s) -
Arfan Muhammad,
Shah Kamal,
Abdeljawad Thabet,
Hammouch Zakia
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22587
Subject(s) - mathematics , homotopy perturbation method , convergent series , fuzzy logic , homotopy analysis method , heat equation , work (physics) , series (stratigraphy) , exact solutions in general relativity , perturbation (astronomy) , mathematical optimization , homotopy , mathematical analysis , computer science , pure mathematics , mechanical engineering , paleontology , physics , quantum mechanics , engineering , biology , power series , artificial intelligence
In this work we develop an algorithm to compute analytical solution for a two‐dimensional fuzzy heat equation involving external source term with fractional order. The algorithm is based on the Homotopy perturbation method: The required result is computed in series form which is rapidly convergent to the exact solution. Examples are given to verify the result, which are compared with the exact solution to illustrate the efficiency and the capability of the proposed method.