Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations

被引：47

作者：

Bazm, S. ^{[1
]}

机构：

[1] Univ Maragheh, Fac Sci, Dept Math, Maragheh 5518183111, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 275卷

关键词：

Linear Volterra integral equations; Nonlinear Volterra-Fredholm-Hammerstein integral equations; Bernoulli polynomials; Operational matrix; Collocation method; OPERATIONAL MATRIX; COLLOCATION METHOD; 1ST-KIND; NYSTROM;

D O I：

10.1016/j.cam.2014.07.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new operational matrix for integration of Bernoulli polynomials is introduced. By using this new operational matrix of integration and the so-called collocation method, linear Volterra and nonlinear Volterra-Fredholm-Hammerstein integral equations are reduced to systems of algebraic equations with unknown Bernoulli coefficients. Some error estimations are provided and illustrative examples are also included to demonstrate the efficiency and applicability of the technique. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：44 / 60

页数：17

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