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Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equations

Published online by Cambridge University Press:  03 June 2015

Muhammad Aslam Noor ,
Khalida Inayat Noor ,
Asif Waheed  and
Eisa Al-Said
Muhammad Aslam Noor*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Khalida Inayat Noor*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Asif Waheed*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Eisa Al-Said*
Affiliation:
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
*
Corresponding author. Email: noormaslam@hotmail.com
Email: khalidanoor@hotmail.com
Email: waheedasif@hotmail.com
Email: eisasaid@ksu.edu.sa
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Abstract

It is well known that nonlinear integro-differential equations play vital role in modeling of many physical processes, such as nano-hydrodynamics, drop wise condensation, oceanography, earthquake and wind ripple in desert. Inspired and motivated by these facts, we use the variation of parameters method for solving system of nonlinear Volterra integro-differential equations. The proposed technique is applied without any discretization, perturbation, transformation, restrictive assumptions and is free from Adomian’s polynomials. Several examples are given to verify the reliability and efficiency of the proposed technique.

Keywords

65N9965R2065K15Variation of parameters methodoceanographysystem of nonlinear Volterra integro-differential equationserror estimates
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 2 , April 2012 , pp. 190 - 204
Copyright
Copyright © Global-Science Press 2012

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