Approximate solutions of singular two-point BVPs using legendre operational matrix of differentiation

A. Sami Bataineh, A. K. Alomari, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Exact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. Different from other numerical techniques, shifted Legendre polynomials and their properties are employed for deriving a general procedure for forming this matrix. The accuracy of the technique is demonstrated through several linear and nonlinear test examples.

Original languageEnglish
Article number547502
JournalJournal of Applied Mathematics
Volume2013
DOIs
Publication statusPublished - 2013

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Differentiation (calculus)
Operational Matrix
Singular Boundary Value Problem
Legendre
Two-point Boundary Value Problem
Boundary value problems
Approximate Solution
Legendre polynomial
Numerical Techniques
Analytical Solution
Polynomials

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Approximate solutions of singular two-point BVPs using legendre operational matrix of differentiation. / Bataineh, A. Sami; Alomari, A. K.; Hashim, Ishak.

In: Journal of Applied Mathematics, Vol. 2013, 547502, 2013.

Research output: Contribution to journalArticle

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