Numerical methods for nonlinear partial differential equations of fractional order

QSpace/Manakin Repository

Numerical methods for nonlinear partial differential equations of fractional order

Show full item record


Title: Numerical methods for nonlinear partial differential equations of fractional order
Author: Odibat, Z.; Momani, S.
Abstract: In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. Numerical results show that the two approaches are easy to implement and accurate when applied to partial differential equations of fractional order.
URI: http://dx.doi.org/10.1016/j.apm.2006.10.025
http://hdl.handle.net/10576/10626
Date: 2006-10-24

Files in this item

Files Size Format View
Numerical metho ... ns of fractional order.pdf 192.5Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search QSpace


Advanced Search

Browse

My Account