Scientific Research Publishing

J. H. He, “Variational Iteration Method—A Kind of Nonlinear Analytical Technique: Some Examples,” International Journal of Nonlinear Mechanics, Vol. 34, No. 4, 1999, pp ...

ABSTRACT: In this paper, variational iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential equations. Laplace transformation with the homotopy ...
University of Waterloo

Periodic solutions for nonlinear oscillations of nanowires using variational iteration method

Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the ...
JSTOR Daily

Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods

The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, ...
Scientific Research Publishing

J. H. He and X. H. Wu, “Construction of Solitary Solution and Compacton-Like Solution by Variational Iteration Method,” Chaos, Solitons & Fractals, Vol. 29, No. 1, 2006, pp ...

ABSTRACT: Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical super diffusive problems in fluid flow, ...