Fractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value fractional diffusive equations. Stability, consistency and convergence of the methods are investigated. It is shown that both schemes are unconditionally stable. A numerical example is presented.
Abrashina‐Zhadaeva, N., & Romanova, N. (2007). A splitting type algorithm for numerical solution of PDEs of fractional order. Mathematical Modelling and Analysis, 12(4), 399-408. https://doi.org/10.3846/1392-6292.2007.12.399-408
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