A new technique for solving nonlinear integral-differential equations

DOI10.1016/j.camwa.2009.03.042zbMath1189.65161OpenAlexW1974623633MaRDI QIDQ979709

Jafar Biazar, Hossein Aminikhah

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.042

zbMATH Keywords

Lagrange multipliervariational iteration methodcorrection functionalsystem of nonlinear integral-differential equations

Mathematics Subject Classification ID

Theoretical approximation of solutions to functional-differential equations (34K07) Numerical methods for ordinary differential equations (65L99)

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Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets ⋮ Numerical solutions of non-linear system of higher order Volterra integro-differential equations using generalized STWS technique ⋮ A new homotopy perturbation method for system of nonlinear integro-differential equations ⋮ Construction of measures of noncompactness of \(DC^{n}[J,E\) and \(C^{n}_{0}[J,E]\) with application to the solvability of \(n\)th-order integro-differential equations in Banach spaces]

Cites Work

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• Application of He's variational iteration method to Helmholtz equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• He's variational iteration method for fourth-order parabolic equations
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
• A comparison between the variational iteration method and Adomian decomposition method
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Analytical approximations and Padé approximants for Volterra's population model
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• The solution of nonlinear coagulation problem with mass loss
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• A new approach to nonlinear partial differential equations
• Variational iteration method for autonomous ordinary differential systems

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