Numerical Solution of Fractional Partial Differential-Algebraic Equation by Adomian Decomposition Method and Multivariate Pade Approximation
Gökçe Dilek Küçük *
Iğdır University Faculty of Art and Science, Department of Mathematics, Iğdır, Turkey.
Muhammed Yigider
Erzurum Technical University Faculty of Science, Department of Mathematics, Erzurum, Turkey.
Ercan Çelik
Atatürk University Faculty of Science, Department of Mathematics, Erzurum, Turkey.
Ercan Çelik
Atatürk University Faculty of Science, Department of Mathematics, Erzurum, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this study, Adomian Decomposition Method (ADM) and Multivariate Padé Approximation (MPA) are used to get solution of fractional partial differential algebraic equation (FPDAE).The solutions in the form of power series are obtained by using ADM first and then we get approximate solutions by means of MPA. While solving the equation, Caputo derivative is utilized. Methods are applied on a test problem. Results demonstrate that they are quite applicable.
Keywords: Fractional partial differential-algebraic equation, Adomian decomposition method, multivariate Padé Approximation