TY - JOUR
ID - 5868
TI - Sinc operational matrix method for solving the Bagley-Torvik equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Azizi, Mohammad-Reza
AU - Khani, Ali
AD - Department of Mathematics, Faculty of Sciences,
Azarbaijan Shahid Madani University, Tabriz, Iran
Y1 - 2017
PY - 2017
VL - 5
IS - 1
SP - 56
EP - 66
KW - Bagley-Torvik equation
KW - Sinc functions
KW - Operational matrix
KW - Caputo derivative
KW - Numerical methods
DO -
N2 - The aim of this paper is to present a new numerical method for solving the Bagley-Torvik equation. This equation has an important role in fractional calculus. The fractional derivatives are described based on the Caputo sense. Some properties of the sinc functions required for our subsequentÂ development are given and are utilized to reduce the computation of solution of the Bagley-Torvik equation to some algebraic equations. It is well known that the sinc procedure converges to the solution at an exponential rate. Numerical examples are included to demonstrate the validity and applicability of the technique.
UR - https://cmde.tabrizu.ac.ir/article_5868.html
L1 - https://cmde.tabrizu.ac.ir/article_5868_fdcacac6135f0bb82c1b80f8d91e4a6b.pdf
ER -