Triangular functions method for numerical solution of fractional Mathieu equation

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 167

فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_CSE-2-1_001

تاریخ نمایه سازی: 17 خرداد 1401

چکیده مقاله:

Fractional differential equations (FDEs) have recently attracted much attention. ‎‎‎‎‎‎Fractional Mathieu equation is a well-known FDE.‎ ‎‎‎Here, a method based on operational matrix of triangular functions for fractional order integration is introduced for the numerical solution of fractional Mathieu equation.‎‎‎‎This technique is a successful method because of reducing the problem to a system of linear equations. By solving this system, an approximate solution is obtained. ‎‎‎‎Illustrative examples demonstrate accuracy and efficiency of the method.

نویسندگان

Leila Mansouri

Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran

Esmail Babolian

Faculty of Mathematical Sciences and Computer, Kharazmi University, ۵۰ Taleghani Avenue, Tehran, ۱۵۶۱۸۳۶۳۱۴, Iran

Zahra Azimzadeh

Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran