Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation
Year: 2012
Author: Muhammad Aslam Noor, Khalida Inayat Noor, Asif Waheed, Eisa Al-Said
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 190–204
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1118
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 190–204
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Variation of parameters method oceanography system of nonlinear Volterra integro-differential equations error estimates.