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Title
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A Novel Approach for Solving an Inverse Reaction–Diffusion–Convection Problem
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Type
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JournalPaper
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Keywords
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Inverse problem, Reaction–diffusion–convection equation, Sixth-kind Chebyshev polynomials, Collocation method, Mollification, Error estimate
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Abstract
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In this paper, we consider an inverse reaction–diffusion–convection problem in which one of the boundary conditions is unknown. A sixth-kind Chebyshev collocation method will be proposed to solve numerically this problem and to obtain the unknown boundary function. Since this inverse problem is generally ill-posed, to find an optimal stable solution, we will utilize a regularization method based on the mollification technique with the generalized cross-validation criterion. The error estimate of the numerical solution is investigated. Finally, to authenticate the validity and effectiveness of the proposed algorithm, some numerical test problems are presented.
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Researchers
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ُSeddighe Banihashemi (Third Researcher), Afshin Babaei (Second Researcher), Hossein Jafari (First Researcher)
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