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

F. Bani-Ahmad, and A.K. Alomari,, and A.S. Bataineh, and Jumat Sulaiman, and I. Hashim, (2016) On the approximate solutions of systems of odes by legendre operational matrix of differentiation. Italian Journal of Pure and Applied Mathematics, 36. pp. 483-494.

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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

Item Type: Article
Uncontrolled Keywords: Legendre polynomials , Operational matrix of differentiation, System of ordinary dierential equations
Subjects: Q Science > QC Physics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Noraini
Date Deposited: 02 Apr 2018 06:17
Last Modified: 02 Apr 2018 06:17
URI: http://eprints.ums.edu.my/id/eprint/19680

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