Spectral collocation method for nonlinear Caputo fractional differential system

被引：4
作者：
Gu, Zhendong [1 ]
机构：
[1] Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou 510521, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2020年 / 46卷 / 05期
关键词：
Spectral collocation method; Fractional differential system; Caputo; Convergence analysis; Numerical experiments; BOUNDARY-VALUE-PROBLEMS; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION; APPROXIMATIONS; SCHEME;
D O I：
10.1007/s10444-020-09808-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A spectral collocation method is developed to solve a nonlinear Caputo fractional differential system. The main idea is to solve the corresponding system of weakly singular nonlinear Volterra integral equations (VIEs). The convergence analysis in matrix form shows that the presented method has spectral convergence. Numerical experiments are carried out to confirm theoretical results.
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页数：21
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