EFFICIENT BOUNDARY VALUE PROBLEM SOLUTION FOR A LANE-EMDEN EQUATION

被引：6

作者：

Harley, C. ^{[1
]}

Momoniat, E. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Wits, South Africa

来源：

MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 04期

关键词：

Lane-Emden equation; boundary value problem; approximate solution;

D O I：

10.3390/mca15040613

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An efficient method for determining an initial guess to an iterative solution to the boundary value problem y '' + (k/x)y' + delta e(y) = 0 solved subject to y'(0) = 0 and y(1) = 0 is proposed. This initial guess overcomes the instability that occurs at the boundary y'(0) = 0 for k <= 1. When the iterative method becomes singular we can conclude that the maximum value of the critical parameter delta has been determined.

引用

页码：613 / 620

页数：8

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