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2014 New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations
W. M. Abd-Elhameed, Y. H. Youssri
Abstr. Appl. Anal. 2014(SI40): 1-8 (2014). DOI: 10.1155/2014/626275

Abstract

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.

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W. M. Abd-Elhameed. Y. H. Youssri. "New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations." Abstr. Appl. Anal. 2014 (SI40) 1 - 8, 2014. https://doi.org/10.1155/2014/626275

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022761
MathSciNet: MR3214442
Digital Object Identifier: 10.1155/2014/626275

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI40 • 2014
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