Numerical Algorithm to Solve a Class of Variable Order Fractional Integral-Differential Equation Based on Chebyshev Polynomials

被引：15
|
作者：
Sun, Kangwen [1 ]
Zhu, Ming [1 ]
机构：
[1] Beihang Univ, Sch Aeronaut Sci & Technol, Beijing 100191, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
TRANSFORM METHOD; APPROXIMATION;
D O I：
10.1155/2015/902161
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The purpose of this paper is to study the Chebyshev polynomials for the solution of a class of variable order fractional integral-differential equation. The properties of Chebyshev polynomials together with the four kinds of operational matrixes of Chebyshev polynomials are used to reduce the problem to the solution of a system of algebraic equations. By solving the algebraic equations, the numerical solutions are acquired. Further some numerical examples are shown to illustrate the accuracy and reliability of the proposed approach and the results have been compared with the exact solution.
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收藏
页数：10
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