Application of the variational iteration method for solving \(n\)th-order integro-differential equations

DOI10.1016/j.cam.2010.02.020zbMath1190.65197OpenAlexW29065766MaRDI QIDQ972750

Danfu Han, Xufeng Shang

Publication date: 21 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.020

zbMATH Keywords

comparison of methodsintegro-differential equationsLagrange multipliernumerical examplessystemvariational iteration methodhomotopy perturbation method

Mathematics Subject Classification ID

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

Related Items (7)

Comparison between homotopy analysis method and optimal homotopy asymptotic method for nth-order integro-differential equation ⋮ On the solutions of three-point boundary value problems using variational-fixed point iteration method ⋮ Variational iteration method with He's polynomials for MHD Falkner-Skan flow over permeable wall based on Lie symmetry method ⋮ Numerical solution of high-order Volterra-Fredholm integro-differential equations by using Legendre collocation method ⋮ Formulation and solution of \(n\)th-order derivative fuzzy integrodifferential equation using new iterative method with a reliable algorithm ⋮ An operational matrix method to solve linear Fredholm-Volterra integro-differential equations with piecewise intervals ⋮ Numerical solution of the general Volterra nth-order integro-differential equations via variational iteration method

Cites Work

• Variational iteration method for solving integro-differential equations
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method: New development and applications
• Variational iteration method for solving integral equations
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• Variational iteration method -- some recent results and new interpretations
• On the convergence of He's variational iteration method
• A comparison between the variational iteration method and Adomian decomposition method
• Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
• Exact and numerical solutions for non-linear Burger's equation by VIM
• A numerical method for solving \(n\)th-order boundary-value problems

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