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 …
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 …
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 …
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 …
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
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 …
gravitating, spherically symmetric polytropic fluid which arises in many applications of …
Numerical solution of the Klein–Gordon equation via He's variational iteration method
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 …
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
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 …
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
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 …
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 …
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
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 …
naturally arise in many applications. He's variational iteration method is implemented to give …