Boundary functions determination in an inverse time fractional heat conduction problem
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In this study, we propose an effective approach for the numerically solution of a class of one-dimensional nonlinear inverse time fractional heat conduction problems. The boundary heat fluxes are considered as unknown functions of the boundary temperatures. A numerical method based on the finite difference and mollification approaches is developed to determine the unknown boundary functions. The stability and convergence of the numerical method are proved. Four test problems are conducted to illustrate the ability of the numerical algorithm.
KeywordsTime fractional Inverse problem Mollification Marching method Boundary functions
Mathematics Subject Classification65M32 65M12 65M06
The authors would like to thank the referees for their valuable comments which helped to improve the manuscript.
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