Efficient boundary value problem solution for a lane-emden equation

C. Harley; E. Momoniat

doi:10.3390/mca15040613

Efficient boundary value problem solution for a lane-emden equation

C. Harley, E. Momoniat

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

An efficient method for determining an initial guess to an iterative solution to the boundary value problem y'' + (k=x)y' + δe^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 δ has been determined.

Original language	English
Pages (from-to)	613-620
Number of pages	8
Journal	Mathematical and Computational Applications
Volume	15
Issue number	4
DOIs	https://doi.org/10.3390/mca15040613
Publication status	Published - 2010
Externally published	Yes

Keywords

Approximate solution
Boundary value problem
Lane-Emden equation

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Applied Mathematics

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10.3390/mca15040613

Cite this

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title = "Efficient boundary value problem solution for a lane-emden equation",

abstract = "An efficient method for determining an initial guess to an iterative solution to the boundary value problem y'' + (k=x)y' + δey = 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 δ has been determined.",

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AU - Momoniat, E.

PY - 2010

Y1 - 2010

N2 - An efficient method for determining an initial guess to an iterative solution to the boundary value problem y'' + (k=x)y' + δey = 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 δ has been determined.

AB - An efficient method for determining an initial guess to an iterative solution to the boundary value problem y'' + (k=x)y' + δey = 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 δ has been determined.

KW - Approximate solution

KW - Boundary value problem

KW - Lane-Emden equation

UR - https://www.scopus.com/pages/publications/78650346098

U2 - 10.3390/mca15040613

DO - 10.3390/mca15040613

M3 - Article

AN - SCOPUS:78650346098

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EP - 620

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

IS - 4

ER -

Efficient boundary value problem solution for a lane-emden equation

Abstract

Keywords

ASJC Scopus subject areas

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