Numerical method for boundary value problems on the real line

被引：0

作者：

De Bonis, Maria Carmela ^{[1
]}

Sagaria, Valeria ^{[1
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2024年 / 200卷

关键词：

Boundary value problem; Fredholm integral equation; Nystr & ouml; m method; Truncated Lagrange interpolation; Hermite polynomials; INFINITE INTERVAL PROBLEMS; FREDHOLM INTEGRAL-EQUATIONS; MODELING PHENOMENA; APPROXIMATION;

D O I：

10.1016/j.apnum.2023.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the global approximation of the solutions of Boundary Value Problems (BVPs) of second order on the real line. We first reduce the BVP to an equivalent Fredholm integral equation of the second kind and then approximate its solution by a Nystr & ouml;m type method based on a suitable product quadrature rule. Such quadrature formula is based on a truncated interpolation process at the Hermite zeros. The stability and the convergence of the method as well as the well conditioning of the involved linear systems are studied in weighted spaces of continuous functions. Numerical tests confirming the theoretical error estimates are shown. (c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：179 / 194

页数：16

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