Open AccessNumerical Solution for Riesz Fractional Diffusion Equation via Fractional Centered Difference Scheme
Author(s) -
Sohrab Valizadeh,
A. Borhanifar
Publication year - 2021
Publication title -
walailak journal of science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.146
H-Index - 15
eISSN - 2228-835X
pISSN - 1686-3933
DOI - 10.48048/wjst.2021.9246
Subject(s) - mathematics , fractional calculus , scheme (mathematics) , matrix difference equation , matrix (chemical analysis) , derivative (finance) , mathematical analysis , partial differential equation , riccati equation , materials science , financial economics , economics , composite material
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.