TITLE:
Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation
AUTHORS:
Mohamed El- Gamel, Mahmoud Abd-El-Hady, Magdy El-Azab
KEYWORDS:
Chelyshkov, Tau Method, Bagley-Torvik, Caputo Derivative, Residual Functions
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.12,
December
21,
2017
ABSTRACT: There are few numerical techniques available to solve the Bagley-Torvik equation
which occurs considerably frequently in various offshoots of applied mathematics
and mechanics. In this paper, we show that Chelyshkov-tau method
is a very effective tool in numerically solving this equation. To show the accuracy
and the efficiency of the method, several problems are implemented and
the comparisons are given with other methods existing in the recent literature.
The results of numerical tests confirm that Chelyshkov-tau method is superior
to other existing ones and is highly accurate.