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Laplace Decomposition Method For Solving The Two-Dimensional Diffusion Problem In Fractal Heat Transfer

Author

Listed:
  • 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)

  • CANAN ÃœNLÃœ

    (��Department of Mathematics, Faculty of Science, Istanbul University 34134 Vezneciler, Fatih/İstanbul, Türkiye)

  • VAN THINH NGUYEN

    (*Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea)

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.

Suggested Citation

  • Hossein Jafari & Hassan Kamil Jassim & Canan Ãœnl㜠& Van Thinh Nguyen, 2024. "Laplace Decomposition Method For Solving The Two-Dimensional Diffusion Problem In Fractal Heat Transfer," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-6.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x24400267
    DOI: 10.1142/S0218348X24400267
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