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مقالات فارسیISIکنفرانسهاژورنالها

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

محل انتشار: دوفصلنامه مرکز پژوهشی ریاضی ماهانی، دوره: 11، شماره: 3
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 117

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لینک ثابت به این مقاله:
https://civilica.com/doc/1553749

شناسه ملی سند علمی:

JR_KJMMRC-11-3_002

تاریخ نمایه سازی: 25 آبان 1401

چکیده مقاله:

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 >۰, 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.

کلیدواژه ها:

Integro-differential equations ، Fractional calculus ، Wavelet sets ، s-elementary wavelets

نویسندگان

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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