A collocation method for solving fractional Riccati differential equation
type: Item
instance of: scholarly article
title: A collocation method for solving fractional Riccati differential equation
zbMATH Open document ID: 1397.65120
DOI: 10.1155/2013/598083
author: Yalçın Öztürk
author: Ayşe Anapalı
author: Mustafa Gülsu
author: Mehmet Sezer
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6950774
Wikidata QID: Q59003247
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/598083
OpenAlex ID: W2148651065
DBLP publication ID: journals/jam/OzturkAGS13
description: scientific article; zbMATH DE number 6950774