The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient |
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| Authors: | Rui Ma Xiangtuan Xiong & Mohammed Elmustafa Amin |
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| Affiliation: | Department of Mathematics,Northwest Normal University,China;Department of Mathematics,Northwest Normal University,China;Department of Mathematics,Omdurman Islamic University,Khartoum,Sudan |
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| Abstract: | We consider an inverse heat conduction problem with variable coefficienton an annulus domain. In many practice applications, we cannot know the initialtemperature during heat process, therefore we consider a non-characteristic Cauchyproblem for the heat equation. The method of fundamental solutions is applied tosolve this problem. Due to ill-posedness of this problem, we first discretize the problemand then regularize it in the form of discrete equation. Numerical tests are conductedfor showing the effectiveness of the proposed method. |
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| Keywords: | Inverse heat conduction problem method of fundamental solutions (MFS) Cauchy problem Ill-posed problem. |
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