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Title
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stabilized solution for a time-fractional inverse problem with an unknown nonlinear condition
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Type
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JournalPaper
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Keywords
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Time fractional inverse problem, Caputo fractional derivative, Mollification, Finite difference scheme, Convergence analysis.
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Abstract
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In this paper, we consider a time-fractional inverse problem in which the nonlinear boundary conditions contain an unknown function. A finite difference scheme will be proposed to solve numerically the inverse problem. This inverse problem is generally ill-posed. For this reason, we will employ the mollification regularization method with the generalized cross-validation criterion to find a stable solution. The stability and convergence of numerical solutions are investigated. Finally, some numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
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Researchers
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ُSeddighe Banihashemi (Second Researcher), Afshin Babaei (First Researcher)
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