Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
- /
- Pages.269-282
- /
- 2007
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
IMPLICIT DIFFERENCE APPROXIMATION FOR THE TWO-DIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION
- Zhuang, Pinghui (School of Mathematical Sciernces, Xiamen University) ;
- Liu, Fawang (School of Mathematical Sciences, Queensland University of Technology)
- Published : 2007.09.30
Abstract
In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique.
Keywords
- Two-dimensional problem;
- space-time;
- fractional differential equation;
- implicit difference approximation;
- stability;
- convergence