Mixed Generalized Jacobi and Chebyshev Collocation Method for Time-Fractional Convection-Diffusion Equations

被引：0

作者：

Tao SUN ^{[1
]}

机构：

[1] School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance

来源：

Journal of Mathematical Research with Applications | 2016年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

time-fractional convection-diffusion equations; collocation methods; shifted generalized Jacobi functions; shifted Chebyshev polynomials;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper,we study an efficient higher order numerical method to timefractional partial differential equations with temporal Caputo derivative.A collocation method based on shifted generalized Jacobi functions is taken for approximating the solution of the given time-fractional partial differential equation in time and a shifted Chebyshev collocation method based on operational matrix in space.The derived numerical solution can approximate the non-smooth solution in time of given equations well.Some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method.

引用

页码：608 / 620

页数：13

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