An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering

JH He - International Journal of Modern Physics B, 2008 - World Scientific
This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

Some relatively new techniques for nonlinear problems

ST Mohyud-Din, MA Noor… - Mathematical Problems in …, 2009 - Wiley Online Library
This paper outlines a detailed study of some relatively new techniques which are originated
by He for solving diversified nonlinear problems of physical nature. In particular, we will …

[HTML][HTML] Variational iteration method: new development and applications

JH He, XH Wu - Computers & Mathematics with Applications, 2007 - Elsevier
Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

Numerical studies for a multi-order fractional differential equation

NH Sweilam, MM Khader, RF Al-Bar - Physics Letters A, 2007 - Elsevier
In this Letter, we implement the variational iteration method and the homotopy perturbation
method, for solving the system of fraction differential equations (FDE) generated by a multi …

Approximate solution of a differential equation arising in astrophysics using the variational iteration method

M Dehghan, F Shakeri - New Astronomy, 2008 - Elsevier
The Lane–Emden equation is Poisson's equation for the gravitational potential of a self-
gravitating, spherically symmetric polytropic fluid which arises in many applications of …

Numerical solution of the Klein–Gordon equation via He's variational iteration method

F Shakeri, M Dehghan - Nonlinear Dynamics, 2008 - Springer
In this paper, we present the solution of the Klein--Gordon equation. Klein--Gordon equation
is the relativistic version of the Schrödinger equation, which is used to describe spinless …

[HTML][HTML] Application of He's variational iteration method for solving the Cauchy reaction–diffusion problem

M Dehghan, F Shakeri - Journal of computational and Applied Mathematics, 2008 - Elsevier
In this paper, the solution of Cauchy reaction–diffusion problem is presented by means of
variational iteration method. Reaction–diffusion equations have special importance in …

[HTML][HTML] Solution of a model describing biological species living together using the variational iteration method

F Shakeri, M Dehghan - Mathematical and Computer Modelling, 2008 - Elsevier
In this work, a system of two nonlinear integro-differential equations which arises in biology
is considered and the well-known variational iteration method is implemented for finding the …

Modified Green–Lindsay thermoelasticity wave propagation in elastic materials under thermal shocks

F Shakeriaski, M Ghodrat… - Journal of …, 2021 - academic.oup.com
In this study, a nonlinear numerical method is presented to solve the governing equations of
generalized thermoelasticity in a large deformation domain of an elastic medium subjected …

Solution of parabolic integro‐differential equations arising in heat conduction in materials with memory via He's variational iteration technique

M Dehghan, F Shakeri - International Journal for Numerical …, 2010 - Wiley Online Library
In this work, we present the solution of some parabolic integro‐differential equations, which
naturally arise in many applications. He's variational iteration method is implemented to give …