An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method

DOI10.1007/s10440-008-9261-zzbMath1162.65419OpenAlexW2020334262MaRDI QIDQ1014861

S. R. Seyed Alizadeh, G. G. Domairry, S. Karimpour

Publication date: 29 April 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9261-z

zbMATH Keywords

integro-differential equationshomotopy perturbation method (HPM)

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (9)

A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations ⋮ Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow ⋮ The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method ⋮ Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method ⋮ Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water ⋮ On the numerical solution of differential-algebraic equations with Hessenberg index-3 ⋮ Comparison of energy balance period with exact period for arising nonlinear oscillator equations. (He's energy balance period for nonlinear oscillators with and without discontinuities.) ⋮ B-Spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations ⋮ Application of amplitude-frequency formulation to nonlinear oscillation system of the motion of a rigid rod rocking back

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