๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The variational iteration method for solving Riesz fractional partial differential equations

โœ Scribed by A. Elsaid


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
375 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, the variational iteration method is applied to obtain the solution for space fractional partial differential equations where the space fractional derivative is in the Riesz sense. On the basis of the properties and definition of the fractional derivative, the iterative technique is carried out in a straightforward manner without the need for transforms or numerical approximations. Examples demonstrate that the series solution obtained shows agreement with the exact solutions of the problems solved.


๐Ÿ“œ SIMILAR VOLUMES


A variational iteration method for solvi
โœ A. Golbabai; M. Javidi ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

In this paper, He's variational iteration method is employed successfully for solving parabolic partial differential equations with Dirichlet boundary conditions. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not

A modified variational iteration method
โœ Fazhan Geng ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. The solutions of Riccati differential equations obtained using the traditional variational iteration method (VIM) give good approximations only in the neighborhood of the initial po

Comparison between the homotopy perturba
โœ Shaher Momani; Zaid Odibat ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

In this article, the homotopy perturbation method proposed by J.-H. He is adopted for solving linear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Comparison of the results obtained by the homotopy perturbation method with those obtained by

An iterative method for solving nonlinea
โœ J.W Neuberger ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 904 KB

TO THE MEMORY OF PASQUALE PORCELLI A successive approximation process for a class of nth order nonlinear partial differential equations on EV,, is given. Analytic solutions are found by iteration. The pairing between initial estimates and limiting functions forms a basis for the study of boundary co

Application of the variational iteration
โœ Xufeng Shang; Danfu Han ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 232 KB

The system of ordinary integro-differential equations a b s t r a c t In this paper, we solve nth-order integro-differential equations by changing the problem to a system of ordinary integro-differential equations and using the variational iteration method. The variational iteration formula is deri