New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations

Joint Authors

Abd-Elhameed, W. M.
Youssri, Y. H.

Source

Abstract and Applied Analysis

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

Mathematics

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