UTHM Institutional Repository

Genocchi wavelet-like operational matrix and its application for solving non-linear fractional differential equations

Isah, Abdulnasir and Phang, Chang (2016) Genocchi wavelet-like operational matrix and its application for solving non-linear fractional differential equations. Open Physics, 14 (1). pp. 463-472. ISSN 23915471

Full text not available from this repository.

Abstract

In this work, we propose a new operational method based on a Genocchi wavelet-like basis to obtain the numerical solutions of non-linear fractional order differential equations (NFDEs). To the best of our knowledge this is the first time a Genocchi wavelet-like basis is presented. The Genocchi wavelet-like operational matrix of a fractional derivative is derived through waveletpolynomial transformation. These operational matrices are used together with the collocation method to turn the NFDEs into a system of non-linear algebraic equations. Error estimates are shown and some illustrative examples are given in order to demonstrate the accuracy and simplicity of the proposed technique.

Item Type: Article
Uncontrolled Keywords: Genocchi wavelet-like basis; operational matrix of fractional derivatives; fractional order system; collocation points
Subjects: Q Science > QA Mathematics > QA297 Numerical analysis. Analysis
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 13 Aug 2018 03:32
Last Modified: 13 Aug 2018 03:32
URI: http://eprints.uthm.edu.my/id/eprint/8971
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item