Laplace decomposition method for solving the two-dimensional diffusion problem in fractal heat transfer

Jafari H., Jassim H. K., ÜNLÜ C., Nguyen V. T.

Fractals, cilt.32, sa.4, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0218348x24400267
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Adomian Decomposition Method, Fractional Diffusion Equation, Local Fractional Derivative, Yang-Laplace Transform
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.