Triangular functions method for numerical solution of fractional Mathieu equation

سال انتشار: 1400
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 156

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شناسه ملی سند علمی:

CSCG04_122

تاریخ نمایه سازی: 23 اسفند 1400

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 isobtained. 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