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Variation of Parameters Method for Solving System of NonlinearVolterra Integro-Differential Equations

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摘要 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.
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2012年第2期190-204,共15页 应用数学与力学进展(英文)
基金 This research is supported by the Visiting Professor Program of King Saud University,Riyadh,Saudi Arabia and Research grant No.KSU.-VPP.108.
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