An approximation scheme for the time fractional convection-diffusion equation

作者：Zhang, Juan; Zhang, Xindong^*; Yang, Bohui

来源：Applied Mathematics and Computation, 2018, 335: 305-312.

DOI：10.1016/j.amc.2018.04.019

• Time fractional convection-diffusion equation
• Caputo derivative
• Stability
• Convergence
• Finite difference method

In this paper, a discrete form is proposed for solving time fractional convection-diffusion equation. Firstly, we obtain a time discrete scheme based on finite difference method. Secondly, we prove that the time discrete scheme is unconditionally stable, and the numerical solution converges to the exact one with order O(tau(2-infinity)), where tau is the time step size. Finally, two numerical examples are proposed respectively, to verify the order of convergence.

• 出版日期2018-10-15
• 单位新疆师范大学