Exponential spline method for approximation solution of Fredholm integro-differential equation

被引：20

作者：

Jalilian, R. ^{[1
,2
]}

Tahernezhad, T. ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah, Iran

[2] Razi Univ, Dept Math,CONTACT,Jalilian,Tagh Bostan, PO Box 6714967346, Kermanshah, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 04期

关键词：

Parametric spline; Fredholm integro-differential equation; Convergence; BOUNDARY-VALUE-PROBLEMS; NONLINEAR FREDHOLM; NUMERICAL-SOLUTION; INTEGRAL-EQUATIONS; MATRIX-METHOD; MODEL;

D O I：

10.1080/00207160.2019.1586891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we approximate the solution of Fredholm integro-differential equations of the second kind by using exponential spline function. The proposed method reduces to the system of algebraic equations. The convergence analysis of the method has been discussed. The numerical examples are presented to illustrate the applications of the method and to compare the computed results with the method in Chen et al. [A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation, J. Comput. Appl. Math. 290 (2015), pp. 633-640].

引用

页码：791 / 801

页数：11

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