Abstract and Applied Analysis

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Abstract

Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. Finally, numerical results were compared and presented in tables and figures.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 746401, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393448861

Digital Object Identifier
doi:10.1155/2013/746401

Mathematical Reviews number (MathSciNet)
MR3035303

Zentralblatt MATH identifier
1275.65088

Citation

Turut, Veyis; Güzel, Nuran. Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 746401, 12 pages. doi:10.1155/2013/746401. https://projecteuclid.org/euclid.aaa/1393448861

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