Numerical methods for nonlinear partial differential equations of fractional order

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Author Odibat, Zaid en_US
Author Momani, Shaher en_US
Available date 2010-01-07T07:59:06Z en_US
Publication Date 2008 en_US
Citation Odibat, Z., & Momani, S. (2008). Numerical methods for nonlinear partial differential equations of fractional order. Applied Mathematical Modelling, 32, 28–39 en_US
URI http://dx.doi.org/10.1016/j.apm.2006.10.025 en_US
URI http://hdl.handle.net/10576/10626 en_US
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
Language en en_US
Publisher Elsevier B.V. en_US
Subject Variational iteration method en_US
Subject Adomian decomposition method en_US
Subject Lagrange multiplier en_US
Subject Fractional differential equation en_US
Subject Caputo fractional derivative en_US
Title Numerical methods for nonlinear partial differential equations of fractional order en_US
Type Article en_US


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