变系数时间-空间分数阶对流-扩散方程的数值算法比较

摘要

文章分别采用显式差分格式、隐式差分格式和Crank-Nicholson格式，数值求解变系数时间-空间分数阶对流-扩散方程，并从局部截断误差、稳定性和计算量3个方面对数值算法进行了比较分析，通过数值算例验证了分析结果。%In this paper ,the explicit difference scheme ,implicit difference scheme and Crank-Nicholson difference scheme are used respectively to solve the time-space fractional convection-diffusion equation with variable coefficients ,and their performance is analyzed in terms of local truncation error ,stabili-ty and computing expense .Finally ,a numerical example is given to validate the results .