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2014 A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions
E. H. Doha, D. Baleanu, A. H. Bhrawy, R. M. Hafez
Abstr. Appl. Anal. 2014(SI40): 1-9 (2014). DOI: 10.1155/2014/816473

Abstract

A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational-Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational-Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.

Citation

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E. H. Doha. D. Baleanu. A. H. Bhrawy. R. M. Hafez. "A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions." Abstr. Appl. Anal. 2014 (SI40) 1 - 9, 2014. https://doi.org/10.1155/2014/816473

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023132
MathSciNet: MR3214455
Digital Object Identifier: 10.1155/2014/816473

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI40 • 2014
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