A splitting type algorithm for numerical solution of PDEs of fractional order

Abstract

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.

First Published Online: 14 Oct 2010

Keywords:

fractional partial differential equation, finite difference approximation, splitting scheme, stability analysis

How to Cite

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

Share

Published in Issue
December 31, 2007
Abstract Views
582

View article in other formats

CrossMark check

CrossMark logo

Published

2007-12-31

Issue

Section

Articles

How to Cite

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

Share