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المؤلفOdibat, Zaid
المؤلفMomani, Shaher
تاريخ الإتاحة2010-01-07T07:59:06Z
تاريخ النشر2008
اسم المنشورApplied Mathematical Modelling
المعرّفhttp://dx.doi.org/10.1016/j.apm.2006.10.025
الاقتباسOdibat, Z., & Momani, S. (2008). Numerical methods for nonlinear partial differential equations of fractional order. Applied Mathematical Modelling, 32, 28–39
معرّف المصادر الموحدhttp://hdl.handle.net/10576/10626
الملخصIn 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.
اللغةen
الناشرElsevier B.V.
الموضوعVariational iteration method
Adomian decomposition method
Lagrange multiplier
Fractional differential equation
Caputo fractional derivative
العنوانNumerical methods for nonlinear partial differential equations of fractional order
النوعArticle
dc.accessType Open Access


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