Du Fort-Frankel scheme for the variable order time fractional diffusion equation

Authors

  • Hadi Azizi Islamic Azad University, Taft Branch

DOI:

https://doi.org/10.30495/jme.v17i0.2420

Keywords:

‎V‎ariable order time fractional diffusion ‎equation‎‎, ‎ Du Fort-‎Frankel ‎method, ‎ Stability, Fourier analysis

Abstract

In this ‎paper,‎ we consider the variable order time fractional diffusion equations in a finite domain. A Du Fort-Frankel finite difference method is introduced to solve ‎these ‎equations‎. ‎The ‎stability condition for this scheme is discussed and proved via ‎the ‎approach‎ of Fourier analysis. ‎‎Numerical examples are prepared to illutrate that the numerical method is computationally ‎efficient.‎

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Published

2023-02-04

Issue

Vol. 17

Section

Vol. 17, No. 2, (2023)

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