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

作     者：Tao SUN 

作者机构：School of Statistics and MathematicsShanghai Lixin University of Accounting and Finance 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2016年第36卷第5期

页      面：608-620页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11401380 11671166) 

主　　题：time-fractional convection-diffusion equations collocation methods shifted generalized Jacobi functions shifted Chebyshev polynomials 

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 *** derived numerical solution can approximate the non-smooth solution in time of given equations *** numerical examples are presented to illustrate the efficiency and accuracy of the proposed method.