A Collocation Method for Solving Fractional Riccati Differential Equation. (21st August 2013)

• Record Type: Journal Article
• Authors: Öztürk, Yalçın; Anapalı, Ayşe; Gülsu, Mustafa; Sezer, Mehmet
• Other Names: Biazar Jafar Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-08-21
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/598083
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions of the solution function in the fractional Riccati differential equation and then substituting their matrix forms into the equation. Using collocation points, we have the system of nonlinear algebraic equation. Then, we solve the system of nonlinear algebraic equation using Maple 13, and we have the coefficients of the truncated Taylor sum. In addition, illustrative examples are presented to demonstrate the effectiveness of the proposed method. Comparing the methodology with some known techniques shows that the present approach is relatively easy and highly accurate.