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

Authors:
İbrahim Karatay;Şerife R. Bayramoğlu;Ali Şahin
Affiliations:
Department of Mathematics, Fatih University, 34500 Istanbul, Turkey;Department of Mathematics, Fatih University, 34500 Istanbul, Turkey;Department of Mathematics, Fatih University, 34500 Istanbul, Turkey
Venue:
Applied Numerical Mathematics
Year:
2011

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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.