应用数学和力学2018，Vol.39Issue(1)：104-112,9.DOI:10.21656/1000-0887.380041
变系数分数阶对流扩散方程的一种算子矩阵方法
An Operational Matrix Method for Fractional Advection-Diffusion Equations With Variable Coefficients
摘要
Abstract
A numerical method for the Caputo-fractional advection-diffusion equations with variable coefficients was investigated.Based on Chebyshev cardinal functions,an effective operational matrix was derived for Riemann-Liouville fractional integral,and with it,a new operational matrix method was proposed for the fractional advection-diffusion equations with variable coefficients.This method reduces the equation to an algebraic system and is characterized by small computing cost and easy programming.The numerical results and the comparisons with some existing methods illustrate that it is convergent and possesses advantages in accuracy.关键词
分数阶微积分/Chebyshev cardinal函数/分数阶对流扩散方程/算子矩阵方法Key words
fractional calculus/Chebyshev cardinal functions/fractional advection-diffusion equation/operational matrix method分类
数理科学引用本文复制引用
朱晓钢,聂玉峰..变系数分数阶对流扩散方程的一种算子矩阵方法[J].应用数学和力学,2018,39(1):104-112,9.基金项目
国家自然科学基金(11471262 （）
11501450)The National Natural Science Foundation of China (11471262 （）
11501450) （）
