In this paper, we present a numerical method for fractional diffusion equations
with variable coefficients. This method is based on Shifted Jacobi collocation scheme and Sinc
functions approximation for temporal and spatial discretizations, respectively. The method
consists of reducing the problem to the solution of linear algebraic equations by expanding the
required approximate solution as the elements of shifted Jacobi polynomials in time and the
Sinc functions in space with unknown coefficients. Some examples are provided to illustrate
the applicability and the simplicity of the proposed numerical scheme.
تاريخ النشر
01/01/2015
الناشر
International Journal of Mathematics and Statistics Studies, IJMSS UK