Title of article :
Triangular functions method for numerical solution of fractional Mathieu equation
Author/Authors :
Mansouri ، Leila Department of Mathematics - College of Science - Islamic Azad University, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch , Babolian ، Esmail Faculty of Mathematical Sciences and Computer - Kharazmi University , Azimzadeh ، Zahra Department of Mathematics - College of Science - Islamic Azad University, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch
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.
Keywords :
Fractional Mathieu equation , Caputo derivative , triangular functions , operational matrix
Journal title :
Computational Sciences and Engineering
Journal title :
Computational Sciences and Engineering
