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Author Odibat, Zaiden_US
Author Momani, Shaheren_US
Available date 2010-01-07T07:59:06Zen_US
Publication Date 2008en_US
Publication Name Applied Mathematical Modelling
Identifier http://dx.doi.org/10.1016/j.apm.2006.10.025
Citation Odibat, Z., & Momani, S. (2008). Numerical methods for nonlinear partial differential equations of fractional order. Applied Mathematical Modelling, 32, 28–39en_US
URI http://hdl.handle.net/10576/10626en_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 enen_US
Publisher Elsevier B.V.en_US
Subject Variational iteration methoden_US
Subject Adomian decomposition methoden_US
Subject Lagrange multiplieren_US
Subject Fractional differential equationen_US
Subject Caputo fractional derivativeen_US
Title Numerical methods for nonlinear partial differential equations of fractional orderen_US
Type Articleen_US


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