Solving nonlinear Volterra–Fredholm integro-differential equations using He's variational iteration method

DOI10.1080/00207161003770394zbMath1216.65179OpenAlexW2098423947MaRDI QIDQ2995481

Sh. Sadigh Behzadi, Mohammad Ali Fariborzi Araghi

Publication date: 21 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207161003770394

zbMATH Keywords

numerical examplecomparison of methodsAdomian's decomposition methodconvergent seriesHe's variational iteration methodnonlinear Volterra-Fredholm integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (6)

A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds ⋮ Weak form quadrature solution of 2mth-order Fredholm integro-differential equations ⋮ Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm-Volterra integro-differential equation ⋮ Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮ A comparison between Adomian decomposition and Tau methods ⋮ An iterative splitting approach for linear integro-differential equations

Cites Work

• Unnamed Item
• Variational iteration method for solving integro-differential equations
• Preface to the special issue on ``The variational iteration method: reliable, efficient, and promising
• Variational iteration method: New development and applications
• Variational iteration method for solving integral equations
• Reliable approaches of variational iteration method for nonlinear operators
• Variational iteration method -- some recent results and new interpretations
• A comparison between the variational iteration method and Adomian decomposition method
• The variational iteration method: A highly promising method for solving the system of integro-differential equations
• Variational principles for some nonlinear partial differential equations with variable coefficients
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Modified decomposition method for nonlinear Volterra-Fredholm integral equations
• Numerical method for non-linear wave and diffusion equations by the variational iteration method
• Variational iteration method for autonomous ordinary differential systems

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