University of TabrizComputational Methods for Differential Equations2345-39825120170101Sinc operational matrix method for solving the Bagley-Torvik equation56665868ENMohammad-RezaAziziDepartment of Mathematics, Faculty of Sciences,
Azarbaijan Shahid Madani University, Tabriz, IranAliKhaniDepartment of Mathematics, Faculty of Sciences,
Azarbaijan Shahid Madani University, Tabriz, IranJournal Article20170113The 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.https://cmde.tabrizu.ac.ir/article_5868_fdcacac6135f0bb82c1b80f8d91e4a6b.pdf