On the approximate solutions of systems of odes by legendre operational matrix of differentiation

F. Bani-Ahmad, A. K. Alomari, A. Sami Bataineh, J. Sulaiman, Ishak Hashim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this article, a general framework for solving system of ordinary differential equations by implementing a relatively new numerical technique called the Legendre operational matrix of differentiation is presented for the first time. This method can be an effective procedure to obtain analytic and approximate solutions for different systems of ordinary differential equations. Different from other numerical techniques, shifted Legendre polynomials and their properties are employed for deriving a general procedure for forming this matrix. Comparisons are made between approximate solutions, exact solutions and numerical ones for several examples. Moreover, estimate error for the given algorithm is presented.

Original languageEnglish
Pages (from-to)483-494
Number of pages12
JournalItalian Journal of Pure and Applied Mathematics
Volume36
Publication statusPublished - 2016

Fingerprint

Operational Matrix
Legendre
Numerical Techniques
System of Ordinary Differential Equations
Approximate Solution
Legendre polynomial
Analytic Solution
Error Estimates
Exact Solution
Framework

Keywords

  • Legendre polynomials
  • Operational matrix of differentiation
  • System of ordinary dierential equations

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the approximate solutions of systems of odes by legendre operational matrix of differentiation. / Bani-Ahmad, F.; Alomari, A. K.; Bataineh, A. Sami; Sulaiman, J.; Hashim, Ishak.

In: Italian Journal of Pure and Applied Mathematics, Vol. 36, 2016, p. 483-494.

Research output: Contribution to journalArticle

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