Numerical methods for nonlinear partial differential equations of fractional order

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Numerical methods for nonlinear partial differential equations of fractional order

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dc.contributor.author Odibat, Z.
dc.contributor.author Momani, S.
dc.date.accessioned 2010-01-07T07:59:06Z
dc.date.available 2010-01-07T07:59:06Z
dc.date.issued 2006-10-24
dc.identifier.citation Volume 32, Issue 1, January 2008, Pages 28-39 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.apm.2006.10.025
dc.identifier.uri http://hdl.handle.net/10576/10626
dc.description.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. en_US
dc.language.iso en en_US
dc.subject Variational iteration method en_US
dc.subject Adomian decomposition method en_US
dc.subject Lagrange multiplier en_US
dc.subject Fractional differential equation en_US
dc.subject Caputo fractional derivative en_US
dc.title Numerical methods for nonlinear partial differential equations of fractional order en_US
dc.type Article en_US

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