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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 68, 2015 - Issue 9
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Original Articles

A Numerical Scheme Based on FD-RBF to Solve Fractional-Diffusion Inverse Heat Conduction Problems

, , &
Pages 978-992 | Received 20 Oct 2014, Accepted 15 Jan 2015, Published online: 23 Jun 2015
 

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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