New applications of variational iteration method

MA Abdou, AA Soliman - Physica D: Nonlinear Phenomena, 2005 - Elsevier
The variational iteration method is used for solving three types of nonlinear partial
differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow …

A systematic literature review of Burgers' equation with recent advances

MP Bonkile, A Awasthi, C Lakshmi, V Mukundan… - Pramana, 2018 - Springer
Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

Homotopy perturbation method for solving boundary value problems

JH He - Physics letters A, 2006 - Elsevier
Homotopy perturbation method is applied to nonlinear boundary value problems.
Comparison of the result obtained by the present method with that obtained by Adomian …

[HTML][HTML] Variational iteration method—some recent results and new interpretations

JH He - Journal of computational and applied mathematics, 2007 - Elsevier
This paper is an elementary introduction to the concepts of variational iteration method. First,
the main concepts in variational iteration method, such as general Lagrange multiplier …

[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 …

Fractional variational iteration method and its application

G Wu, EWM Lee - Physics Letters A, 2010 - Elsevier
Fractional differential equations have been investigated by variational iteration method.
However, the previous works avoid the term of fractional derivative and handle them as a …

[图书][B] Derivative with a new parameter: theory, methods and applications

A Atangana - 2015 - books.google.com
Derivative with a New Parameter: Theory, Methods and Applications discusses the first
application of the local derivative that was done by Newton for general physics, and later for …

Numerical solution of Korteweg–de Vries-Burgers equation by the modified variational iteration algorithm-II arising in shallow water waves

H Ahmad, AR Seadawy, TA Khan - Physica Scripta, 2020 - iopscience.iop.org
In this paper, an effective modification of variational iteration algorithm-II is presented for the
numerical solution of the Korteweg–de Vries-Burgers equation, Burgers equation and …

[HTML][HTML] Numerical solution of time-and space-fractional coupled Burgers' equations via homotopy algorithm

J Singh, D Kumar, R Swroop - Alexandria Engineering Journal, 2016 - Elsevier
In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis
method with Laplace transform, namely q-homotopy analysis transform method to solve time …

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 …