Chelyshkov collocation method for a class of mixed functional integro-differential equations

被引：44

作者：

Oguz, Cem ^{[1
]}

Sezer, Mehmet ^{[2
]}

机构：

[1] Ahi Evran Univ, Fac Sci, Dept Math, TR-40100 Kirsehir, Turkey

[2] Celal Bayar Univ, Fac Sci, Dept Math, TR-45047 Manisa, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 259卷

关键词：

Functional integro-differential equations; Chelyshkov polynomials and series; Collocation method; Residual error technique; CHEBYSHEV POLYNOMIAL SOLUTIONS; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATIONS; SYSTEMS; ALGORITHM;

D O I：

10.1016/j.amc.2015.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a numerical matrix method based on Chelyshkov polynomials is presented to solve the linear functional integro-differential equations with variable coefficients under the initial-boundary conditions. This method transforms the functional equation to a matrix equation by means of collocation points. Also, using the residual function and Mean Value Theorem, an error analysis technique is developed. Some numerical examples are performed to illustrate the accuracy and applicability of the method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：943 / 954

页数：12

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