Elsevier

Applied Numerical Mathematics

Volume 61, Issue 12, December 2011, Pages 1281-1288
Applied Numerical Mathematics

Implicit difference approximation for the time fractional heat equation with the nonlocal condition

https://doi.org/10.1016/j.apnum.2011.08.007Get rights and content

Abstract

In this work, a method for solving inhomogeneous nonlocal fractional heat equations is proposed. The method is based on the modified Gauss elimination method. It is proved by using matrix stability approach that the method is unconditionally stable. Numerical results are provided to illustrate the accuracy and efficiency of the proposed method.

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