LAPLACE DECOMPOSITION METHOD FOR SOLVING THE TWO-DIMENSIONAL DIFFUSION PROBLEM IN FRACTAL HEAT TRANSFER

Hossein Jafari, Hassan Kamil Jassim, ÜNLÜ Canan and Nguyen van Thinh
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Hossein Jafari: Institute of Research and Development, Duy Tan University, Da Nang, Vietnam†School of Engineering & Technology, Duy Tan University, Da Nang, Vietnam‡Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa§Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan
Hassan Kamil Jassim: �Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq
ÜNLÜ Canan: ��Department of Mathematics, Faculty of Science, Istanbul University 34134 Vezneciler, Fatih/İstanbul, Türkiye
Nguyen van Thinh: *Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-6

Abstract: In this paper, the Local Fractional Laplace Decomposition Method (LFLDM) is used for solving a type of Two-Dimensional Fractional Diffusion Equation (TDFDE). In this method, first we apply the Laplace transform and its inverse to the main equation, and then the Adomian decomposition is used to obtain approximate/analytical solution. The accuracy and applicability of the LFLDM is shown through two examples. The LFLDM results are in good agreement with the exact solution of the problems.

Keywords: Fractional Diffusion Equation; Local Fractional Derivative; Adomian Decomposition Method; Yang–Laplace Transform (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400267

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