New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations
Joint Authors
Abd-Elhameed, W. M.
Youssri, Y. H.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abd-Elhameed, W. M.& Youssri, Y. H.. 2014. New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014377
Modern Language Association (MLA)
Abd-Elhameed, W. M.& Youssri, Y. H.. New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014377
American Medical Association (AMA)
Abd-Elhameed, W. M.& Youssri, Y. H.. New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014377
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014377