Explicit group iterative methods in the solution of two dimensional time-fractional diffusion-waves equation

Authors

  • Ali A School of Mathematical Science, University of Science,11800 Penang, Malaysia
  • Ali NHM School of Mathematical Science, University of Science,11800 Penang, Malaysia

Keywords:

FSP, FRP, FEG, FEDG, time-fractional diffusion-wave equation, Caputo's fractional derivative

Abstract

In this paper, we present the preliminary study of the formulation of fractional explicit group (FEG) and fractional explicit de-coupled group (FEDG) iterative methods in solving the two dimensional second order diffusion wave equation of fractional order. Both FEG and FEDG iterative methods are derived from the fractional standard and fractional rotated five points Crank-Nicolson discretizations respectively. Their computational complexity is presented and numerical experiments are conducted to demonstrate the efficiency and adeptness of the newly developed explicit group formulations in terms of CPU timings and total number of operations. AMS Subject Classification: 65N14

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Published

2024-02-26

How to Cite

Ali, A., & Ali, N. H. M. (2024). Explicit group iterative methods in the solution of two dimensional time-fractional diffusion-waves equation. COMPUSOFT: An International Journal of Advanced Computer Technology, 7(11), 2931–2938. Retrieved from https://ijact.in/index.php/j/article/view/463

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Original Research Article