An optimal variational iteration method

DOI10.1016/j.aml.2010.12.032zbMath1223.65038OpenAlexW2048542465MaRDI QIDQ628286

Mustafa Turkyilmazoglu

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11655/19759

zbMATH Keywords

numerical examplesnonlinear equationsresidual errorvariational iteration methodconvergence accelerating parameter

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (21)

A new variational iteration method for a class of fractional convection-diffusion equations in large domains ⋮ New optimal fourth-order iterative method based on linear combination technique ⋮ On the solutions of three-point boundary value problems using variational-fixed point iteration method ⋮ Controlled Picard's transform technique for solving a type of time fractional Navier-Stokes equation resulting from incompressible fluid flow ⋮ Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions ⋮ New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors ⋮ Generalisation of the Lagrange multipliers for variational iterations applied to systems of differential equations ⋮ A mathematical modelling of inner-resonance of tangent nonlinear cushioning packaging system with critical components ⋮ On the differential transform method of solving boundary eigenvalue problems: An illustration ⋮ A novel Laplace decomposition method for non-linear stretching sheet problem in the presence of MHD and slip condition ⋮ Convergent optimal variational iteration method and applications to heat and fluid flow problems ⋮ Notes on the optimal variational iteration method ⋮ Iterative solutions of Hirota Satsuma coupled KdV and modified coupled KdV systems ⋮ Revisiting Blasius flow by fixed point method ⋮ An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations ⋮ Convergence of variational iteration method applied to two-point diffusion problems ⋮ The variational iteration method is a special case of the homotopy analysis method ⋮ A comparison between the variational iteration method and the successive approximations method ⋮ Solution of initial and boundary value problems by the variational iteration method ⋮ MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES ⋮ Optimal control applied to a fractional-order foot-and-mouth disease model

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
• Variational iteration method -- some recent results and new interpretations
• The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations

This page was built for publication: An optimal variational iteration method