On the numerical solution of a class of nonstandard Sturm-Liouville boundary value problems

被引：3

作者：

Junghanns, P. ^{[1
]}

Themistoclakis, W. ^{[2
]}

Vecchio, A. ^{[2
]}

机构：

[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany

[2] CNR, Ist Applicaz Calcolo Mauro Picone, I-80131 Naples, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 272卷

关键词：

Numerical iterative methods; Integro-differential boundary value problems; Nonlinear problems; Fixed point theory; M-matrices; EQUATIONS;

D O I：

10.1016/j.cam.2013.10.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the numerical solution of a nonstandard Sturm-Liouville boundary value problem on the half line where the coefficients of the differential terms depend on the unknown function by means of a scalar integral operator. By using a finite difference discretization, a truncated quadrature rule and an iterative procedure, we construct a numerical method, whose convergence is proved. The order of convergence and the truncation at infinity are also discussed. Finally, some numerical tests are given to show the performance of the method. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：362 / 376

页数：15

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