Abstract
In this paper we apply the recently introduced Polynomial Least Squares Method (PLSM) to compute approximate analyticalpolynomial solutions for the Bagley-Torvik fractional equation with boundary conditions. The Bagley—Torvik equation may be used to model the motion of real physical systems such as the motion of a thin rigid plate immersed in a Newtonian fluid. In order to emphasize the accuracy of PLSM, we included a comparison with previous approximate solutions obtained for the Bagley-Torvik fractional equation by means of other approximation method.
Highlights
Solving the equations modeling various problems which arise in the fields of science and engineering have always been a priority for the researchers
The Polynomial Least Squares Method (PLSM) has been used by C Bota and B Caruntu in 2015 to compute an approximate analytical solution of the fractional order brusselator system ([6])
The computations show that the approximate analytical polynomial solutions computed by using PLSM present an error smaller than the error of the corresponding solutions from other methods
Summary
Solving the equations modeling various problems which arise in the fields of science and engineering have always been a priority for the researchers. In general it is difficult to solve fractional differential equations and usually the computation of an exact solution impossible([12],[13]). This is why different methods are being studied to determine numerical solutions for the fractional differential equation ([5],[7], [9], [10], [11], [14]). One of the recently method used to compute approximate analytical polynomial solutions for fractional differential equation is the Polynomial Least Squares Method (PLSM). The computations show that the approximate analytical polynomial solutions computed by using PLSM present an error smaller than the error of the corresponding solutions from other methods
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
