Numerical Solution for Riesz Fractional Diffusion Equation via Fractional Centered Difference Scheme

Authors

  • Sohrab VALIZADEH Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
  • Abdollah BORHANIFAR Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran

DOI:

https://doi.org/10.48048/wjst.2021.9246

Keywords:

Fractional centered difference, Padé approximation, Riesz fractional diffusion equations [2,0], Stability and feasible

Abstract

In this paper, a mixed matrix transform method with fractional centered difference scheme for solving fractional diffusion equation with Riesz fractional derivative was examined. It was obtained that the numerical scheme was unconditionally stable and feasible using the matrix analysis method. Numerical experiments were, then, carried out to support the theoretical predictions.

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Published

2021-03-23

How to Cite

VALIZADEH, S. ., & BORHANIFAR, A. . (2021). Numerical Solution for Riesz Fractional Diffusion Equation via Fractional Centered Difference Scheme. Walailak Journal of Science and Technology (WJST), 18(7), Article 9246 (16 pages). https://doi.org/10.48048/wjst.2021.9246