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 ...
IEEE

Variational Iteration Method

Abstract: The variational iteration method (VIM) is one of the well‐known semi‐analytical methods for solving linear and nonlinear ordinary as well as partial differential equations. The main ...
IEEE

Convergence of variational iteration method applied to generalized two-point diffusion problems

Abstract: In this paper, the variational iteration algorithm-II for generalized diffusion problems is theoretically constructed. Then, the sufficient conditions that ensure convergence of variational ...
Scientific Research Publishing

Xu, L. (2007) Variational Iteration Method for Solving Fourth-Order Boundary-Value Problems. International Journal of Computer Mathematics, 84, 1347-1356.

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...