Numerical Solution of Vector Sturm-Liouville Problems with a Nonlinear Dependence on the Spectral Parameter

被引：3

作者：

Gavrikov, Alexander ^{[1
]}

机构：

[1] Russian Acad Sci, A Ishlinsky Inst Problems Mech, Prospekt Vernadskogo 101-1, Moscow 119526, Russia

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷

基金：

俄罗斯基础研究基金会;

关键词：

NATURAL OSCILLATIONS; SYSTEMS;

D O I：

10.1063/1.4992715

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new iterative based on spectral corrections method for solving regular self-adjoint vector Sturm-Liouville problems is presented. It is assumed that symmetric matrix coefficients of the differential equation depend nonlinearly on the spectral parameter. The method has quadratic convergence with respect to a small parameter. The numerical results for test examples are given.

引用

页数：4

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