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Title
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An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
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Type
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JournalPaper
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Keywords
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convergence analysis, finite difference scheme, integro-partial differential equation, Sinc-collocation method, variable order fractional derivative
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Abstract
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The main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro-partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used. Then, the Sinc-collocation approach combined with the double exponential transformation is employed to solve the problem in each time level. The proposed numerical algorithm is completely described and the convergence analysis of the numerical solution is presented. Finally, some illustrative examples are given to demonstrate the pertinent features of the proposed algorithm.
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Researchers
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Carlo Cattani (Third Researcher), ُSeddighe Banihashemi (Second Researcher), Afshin Babaei (First Researcher)
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