New applications of variational iteration method
The variational iteration method is used for solving three types of nonlinear partial
differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow …
differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow …
A systematic literature review of Burgers' equation with recent advances
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 …
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 …
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 …
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 …
problems. The main property of the method is in its flexibility and ability to solve nonlinear …
Fractional variational iteration method and its application
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 …
However, the previous works avoid the term of fractional derivative and handle them as a …
[BUCH][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 …
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
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 …
numerical solution of the Korteweg–de Vries-Burgers equation, Burgers equation and …
Numerical studies for a multi-order fractional differential equation
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 …
[HTML][HTML] Numerical solution of time-and space-fractional coupled Burgers' equations via homotopy algorithm
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 …
method with Laplace transform, namely q-homotopy analysis transform method to solve time …