Solution of High-Order Linear Fredholm Integro-Differential Equations with Piecewise Intervals

被引：18

作者：

Baykus, Nurcan ^{[1
]}

Sezer, Mehmet ^{[2
]}

机构：

[1] Dokuz Eylul Univ, Izmir Vocat Sch, Izmir, Turkey

[2] Mugla Univ, Dept Math, Fac Sci, Mugla, Turkey

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 05期

关键词：

Fredholm integral and integro-differential equations; Taylor matrix method; Taylor polynomials and series; NUMERICAL-SOLUTION; APPROXIMATE SOLUTION; POLYNOMIAL SOLUTION; INTEGRAL-EQUATIONS; TAU-METHOD; TAYLOR; ALGORITHM; SYSTEM; TERMS;

D O I：

10.1002/num.20587

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals under the initial boundary conditions in terms of Taylor polynomials. The method converts the integro differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1327-1339, 2011

引用

页码：1327 / 1339

页数：13

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