# An implicit compact finite difference method for the fractional reaction-subdiffusion equation

## DOI:

https://doi.org/10.14419/ijamr.v3i4.3678## Published:

2014-11-26## Keywords:

Compact finite difference scheme, Fourier analysis, Fractional reaction-subdiffusion equation, Solvability, Stability.## Abstract

In this article, a high order implicit compact difference method for the fractional reaction-subdiffusion equation is presented. The difference scheme is unconditionally stable and the truncation error is of first order in time and forth order in space. A numerical example is included to demonstrate the validity of theoretical results and efficiency of the scheme.

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