Numerical solution of nonlinear integral equations using alternative Legendre polynomials

被引：0

作者：

Sohrab Bazm

Alireza Hosseini

机构：

[1] University of Maragheh,Department of Mathematics, Faculty of Science

[2] University of Tehran,School of Mathematics, Statistics and Computer Science, College of Science

[3] School of Mathematics,undefined

[4] Institute for Research in Fundamental Sciences (IPM),undefined

来源：

Journal of Applied Mathematics and Computing | 2018年 / 56卷

关键词：

Volterra–Fredholm–Hammerstein integral equations; Alternative Legendre polynomials; Collocation method; Operational matrices; 65R20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the operational matrices of integration and the product for the alternative Legendre polynomials (ALPs) are first derived. Then, using these operational matrices and the collocation method, the nonlinear Volterra–Fredholm–Hammerstein integral equations are reduced to a set of nonlinear algebraic equations with unknown ALP coefficients. Some error estimations are provided and the efficiency and accuracy is verified by applying the method to some examples chosen from other literature.

引用

页码：25 / 51

页数：26

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