سیویلیکا را در شبکه های اجتماعی دنبال نمایید.

Second order spline method for fractional Bagley-Torvik equation with variable coefficients and Robin boundary conditions

Publish Year: 1402
Type: Journal paper
Language: English
View: 77

This Paper With 16 Page And PDF Format Ready To Download

Export:

Link to this Paper:

Document National Code:

JR_JMMO-11-1_008

Index date: 8 June 2024

Second order spline method for fractional Bagley-Torvik equation with variable coefficients and Robin boundary conditions abstract

A fractional Bagley-Torvik equation of variable coefficients with Robin boundary conditions is considered in this  paper. We prove the existence of the solution which is demonstrated by converting the boundary value problem into a Volterra integral equation of the second kind and also  prove the uniqueness of the solution  by using the minimum principle. We propose a numerical method that combines the second order spline approximation for the Caputo derivative and the central difference scheme for the second order derivative term. Meanwhile,   the Robin boundary conditions is approximated by three-point endpoint formula. It is to be proved that this method is of second order convergent. Numerical examples are provided to demonstrate the accuracy and efficiency of the method.

Second order spline method for fractional Bagley-Torvik equation with variable coefficients and Robin boundary conditions Keywords:

Second order spline method for fractional Bagley-Torvik equation with variable coefficients and Robin boundary conditions authors

Joe Christin Mary S

Department of Mathematics, Bharathidasan University, Tiruchirappalli - ۶۲۰ ۰۲۴, Tamilnadu, India

Ayyadurai Tamilselvan

Department of Mathematics, Bharathidasan University, Tiruchirappalli - ۶۲۰ ۰۲۴, Tamilnadu, India