A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media

作者：Hasan, Mohammad Tanzil; Lin, Yumin^*

来源：East Asian Journal on Applied Mathematics, 2018, 8(4): 809-833.

DOI：10.4208/eajam.0704218.070518

• Time fractional fluid equation
• finite difference
• spectral method
• stability
• convergence

A numerical method for the generalised second grade fluid through porous media with anomalous diffusion is considered. The method is based on a combination of finite differences in time and a spectral method in space directions. The convergence of the method is rigorously proved and theoretical error estimates are established. The numerical scheme is unconditionally stable and provides a high accuracy if the solution is smooth enough. The results of numerical simulations are consistent with theoretical findings.

• 出版日期2018-11
• 单位厦门大学