Title of article :
Compact Finite Difference Methods for the Solution of One Dimensional Anomalous Sub- Diffusion Equation
Author/Authors :
Al-Shibani ، Faoziya S. - Universiti Sains Malaysia , Ismail ، Ahmed I. Md. - Universiti Sains Malaysia , Abdullah ، Farah A. - Universiti Sains Malaysia
Abstract :
In this paper, two high order compact finite difference schemes are formulated for solving the one dimensional anomalous subdiffusion equation. The Grünwald- Letnikov formula is used to discretize the temporal fractional derivative. The truncation error and stability of the two methods are discussed. The feasibility of the compact schemes is investigated by application to a model problem.
Keywords :
Compact finite difference method , Time fractional diffusion , Grünwald , Letnikov method ,
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
