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Implicit difference approximation for the time fractional heat equation with the nonlocal condition |
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| Authors: | ?brahim Karatay ?erife R. Bayramo?lu Ali ?ahin |
| Affiliation: | Department of Mathematics, Fatih University, 34500 Istanbul, Turkey |
| 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. |
| Keywords: | Matrix stability Difference schemes Kailath theorem Nonlocal fractional parabolic differential equations Schur complement Matrix block inversion |
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