A nonclassical radau collocation method for nonlinear initial-value problems with applications to lane-emden type equations

Mohammad Maleki, M. Tavassoli Kajani, Ishak Hashim, A. Kilicman, K. A M Atan

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We propose a numerical method for solving nonlinear initial-value problems of Lane-Emden type. The method is based upon nonclassical Gauss-Radau collocation points, and weighted interpolation. Nonclassical orthogonal polynomials, nonclassical Radau points and weighted interpolation are introduced on arbitrary intervals. Then they are utilized to reduce the computation of nonlinear initial-value problems to a system of nonlinear algebraic equations. We also present the comparison of this work with some well-known results and show that the present solution is very accurate.

Original languageEnglish
Article number103205
JournalJournal of Applied Mathematics
Volume2012
DOIs
Publication statusPublished - 2012

Fingerprint

Initial value problems
Collocation Method
Initial Value Problem
Nonlinear Problem
Interpolation
Interpolate
Nonlinear Algebraic Equations
Collocation
Nonlinear equations
Orthogonal Polynomials
Gauss
Numerical methods
Numerical Methods
Polynomials
Interval
Arbitrary

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

A nonclassical radau collocation method for nonlinear initial-value problems with applications to lane-emden type equations. / Maleki, Mohammad; Tavassoli Kajani, M.; Hashim, Ishak; Kilicman, A.; Atan, K. A M.

In: Journal of Applied Mathematics, Vol. 2012, 103205, 2012.

Research output: Contribution to journalArticle

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