A Numerical Scheme Based on FD-RBF to Solve Fractional-Diffusion Inverse Heat Conduction Problems |
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Authors: | M. Q. Wang C. X. Wang C. S. Chen |
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Affiliation: | Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of China |
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Abstract: | In this paper we investigated a fractional-diffusion inverse heat conduction problem (FIHCP). The numerical computation of fractional derivatives from noisy data is a typical ill-posed problem. Based on the fractional derivative of radial basis functions (RBFs), we proposed an effective numerical scheme to alleviate the difficulty of the ill-posed FIHCP. To demonstrate the efficiency and stability of the proposed scheme, we provide some theoretical analysis and numerical results of the proposed method. |
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