Analytical and numerical solutions of time fractional anomalous thermal diffusion equation in composite medium

作者：Jiang Xiaoyun^*; Chen Shanzhen

来源：Zeitschrift fur Angewandte Mathematik und Mechanik, 2015, 95(2): 156-164.

DOI：10.1002/zamm.201300074

• Fractional heat conduction
• composite medium
• finite integral transform
• numerical simulation

In this paper, we set up a time fractional thermal diffusion equation in one-dimensional composite medium. Analytical and numerical methods are proposed to solve the equation of fractional thermal diffusion in M-layers composite medium. To illustrate the effectiveness of the method, a time fractional heat flow equation of two layers is considered. Numerical results show that the proposed methods are accurate and efficient. The classical heat conduction problem in one-dimensional composite medium can be regarded as particular cases of this paper. The proposed method can be developed for different situations to calculate anomalous diffusion problems in composite medium.

• 出版日期2015-2
• 单位山东大学