Numerical Solution of Fractional Partial Differential-Algebraic Equation by Adomian Decomposition Method and Multivariate Pade Approximation
Gökçe Dilek Küçük, Muhammed Yigider, Ercan Çelik
Current Journal of Applied Science and Technology · pp. 3653–3664 · Published 5 Jul 2014
10.9734/BJAST/2014/9941Abstract
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.
Cited by 3
Hatıra Günerhan, Ercan Çelik · Applied Mathematics and Nonlinear Sciences · 2020
Berat Karaagac · The European Physical Journal Plus · 2018
Ramin Najafi, Gökçe Dilek Küçük, Ercan Çeli̇k · Mathematical Methods in the Applied Sciences · 2016
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