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Title
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On The Stable Implicit Finite Differences Approximation of Diffusion Equation With The Time Fractional Derivative Without Singular Kernel
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Type
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JournalPaper
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Keywords
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Caputo–Fabrizio fractional derivatives; finite differences; diffusion equation; stability; convergence.
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Abstract
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In this paper, we give a numerical approximation to the Caputo–Fabrizio time fractional diffusion equation. The implicit finite differences method is applied to solve a timefractional diffusion equation with this new fractional derivative. We present the stability and convergence analysis of the proposed numerical scheme. Some numerical problems will be presented to show the accuracy and effectiveness of the method.
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Researchers
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Alireza Mohammadpour (Third Researcher), Afshin Babaei (Second Researcher), Ali Taghavi (First Researcher)
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