A NUMERICAL SCHEME BASED ON FD-RBF TO SOLVE FRACTIONAL-DIFFUSION INVERSE HEAT CONDUCTION PROBLEMS

作者：Wang M Q; Wang C X; Li Ming^*; Chen C S

来源：Numerical Heat Transfer Part A-Applications, 2015, 68(9): 978-992.

DOI：10.1080/10407782.2014.986376

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.

• 出版日期2015-11-2
• 单位太原理工大学