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

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Turut V., GÜZEL N.

ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/746401
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yıldız Technical University Affiliated: Yes

Abstract

Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Pade 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 Pade series. Finally, numerical results were compared and presented in tables and figures.