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

Hadi Azizi

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.‎

Keywords


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

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