Scientific Research Publishing

He, J.H. (1999) Variational iteration method–a kind of nonlinear analytical technique: Some examples. International Journal of Non-Linear Mechanics, 34(4), 699-708.

ABSTRACT: The nonlinear coupled system of diffusion equations are solved analytically for the transport and kinetics of electrons and reactant in the layer of a modified electrode. Analytical ...
JSTOR Daily

A new conformable fractional variational iteration method to singular perturbation conformable fractional Cauchy problems

In this paper, we first introduce the perturbation conformable fractional differential equations and present a new variational iteration method for solving and investigating their solutions. In 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

Identification of fractional-order systems based on the variational iteration method

Abstract: This paper addresses the parameter identification problem of a fractional order system with a known structure. Thus, based on the variational iteration method, its shown that the ...
C&EN

Interactive Application and Visualization of the Variational Method to Aid Conceptual Understanding of Introductory Quantum Mechanics

We introduce a self-guided, interactive JupyterLab to familiarize undergraduate students with introductory quantum mechanics concepts. In the lab, the linear variational method is applied to a ...
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

Noor, M.A. and Mohyud-Din, S.T. (2008) Variational Iteration Method for Solving Fourth-Order Boundary Value Problems. Applied Mathematics and Computation, 195, 591-596.

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 ...