Combined compact difference scheme for the time fractional convection–diffusion equation with variable coefficients

作者：

Highlights：

• Combined compact finite difference scheme for solving the time fractional convection–diffusion–reaction equation is given.

• The primary unknown and its derivative are solved simultaneously.

• The coefficients of the fractional partial differential equation are variable.

• Both Dirichlet and Robin boundary conditions are discussed, and the algorithm gives high-order convergence results.

摘要

•Combined compact finite difference scheme for solving the time fractional convection–diffusion–reaction equation is given.•The primary unknown and its derivative are solved simultaneously.•The coefficients of the fractional partial differential equation are variable.•Both Dirichlet and Robin boundary conditions are discussed, and the algorithm gives high-order convergence results.

论文关键词：Compact,Combined,Fractional differential equation,Convection–diffusion,Mixed,Difference,High-order

论文评审过程：Available online 6 September 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.08.025