New ultraspherical wavelets spectral solutions for fractional Riccati differential equations
type: Item
instance of: scholarly article
title: New ultraspherical wavelets spectral solutions for fractional Riccati differential equations
zbMATH Open document ID: 1474.65246
DOI: 10.1155/2014/626275
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce two new spectral wavelets algorithms for solving linear and nonlinear fractional-order Riccati differential equation. The suggested algorithms are basically based on employing the ultraspherical wavelets together with the tau and collocation spectral methods. The main idea for obtaining spectral numerical solutions depends on converting the differential equation with its initial condition into a system of linear or nonlinear algebraic equations in the unknown expansion coefficients. For the sake of illustrating the efficiency and the applicability of our algorithms, some numerical examples including comparisons with some algorithms in the literature are presented.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 65T60
zbMATH DE Number: 7022761
Wikidata QID: Q59040135
author: Waleed M. Abd-Elhameed
author: Y. H. Youssri
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/626275
OpenAlex ID: W2136976048
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description: scientific article; zbMATH DE number 7022761