Approximation Algorithm for a System of Pantograph Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,012 (issn: 1110-757X, eissn: 1687-0042,

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Authors: Sabir Widatalla; Mohammed Abdulai Koroma;

doi: 10.1155/2012/714681

Approximation Algorithm for a System of Pantograph Equations

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Abstract

We show how to adapt an efficient numerical algorithm to obtain an approximate solution of a system of pantograph equations. This algorithm is based on a combination of Laplace transform and Adomian decomposition method. Numerical examples reveal that the method is quite accurate and efficient, it approximates the solution to a very high degree of accuracy after a few iterates.

Related Organizations

Harbin Institute of Technology
China (People's Republic of)
Sinnar University
Sudan

Keywords

QA1-939, Numerical methods for ordinary differential equations, Numerical approximation of solutions of functional-differential equations, Mathematics

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