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An application of s-elementary wavelets in numerical solution of differential and fractional integral equations

Publish Year: 1401
Type: Journal paper
Language: English
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JR_KJMMRC-11-3_002

Index date: 16 November 2022

An application of s-elementary wavelets in numerical solution of differential and fractional integral equations abstract

In this article we introduce wavelet sets and consider a special wavelet set in R. We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order \alpha >0, numerically. Convergence analysis of this basis is investigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods.

An application of s-elementary wavelets in numerical solution of differential and fractional integral equations Keywords:

An application of s-elementary wavelets in numerical solution of differential and fractional integral equations authors

Mohammad Javad Kheirdeh

Department of Mathematics, Payame Noor University (PNU) P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran

Ataollah Askari hemmat

Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonal University of Kerman, Kerman, Iran.

Habibollah Saeedi

Department of Applied Mathematics, Faculty of Mathematics and Computer & Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran

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