Operational Matrix of Fractional Integration Based on the Shifted Second Kind Chebyshev Polynomials for Solving Fractional Differential Equations

被引：38

作者：

Maleknejad, Khosrow ^{[1
]}

Nouri, Kazem ^{[2
]}

Torkzadeh, Leila ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, POB 16846, Tehran 13114, Iran

[2] Semnan Univ, Dept Math, Fac Math Stat & Comp Sci, POB 35195-363, Semnan, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

关键词：

Operational matrices; multi-term fractional order differential equation; shifted second kind Chebyshev polynomials;

D O I：

10.1007/s00009-015-0563-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying a computational method for solving multi-term differential equations based on new operational matrix of shifted second kind Chebyshev polynomials. The properties of the operational matrix of fractional integration are exploited to reduce the main problem to an algebraic equation. We present an upper bound for the error in our estimation that leads to achieve the convergence rate of O(M (-kappa) ). Numerical experiments are reported to demonstrate the applicability and efficiency of the proposed method.

引用

页码：1377 / 1390

页数：14

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