Triangular functions method for numerical solution of fractional Mathieu equation
Publish place: Computational Sciences and Engineering، Vol: 2، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CSE-2-1_001
تاریخ نمایه سازی: 17 خرداد 1401
Abstract:
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.
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Authors
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