Şuayip Yüzbaşı1, *, Murat Karaçayır1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 941-956, 2020, DOI:10.32604/cmes.2020.08938
- 28 May 2020
Abstract In this study, we present a numerical scheme similar to the Galerkin method in
order to obtain numerical solutions of the Bagley Torvik equation of fractional order 3/2. In
this approach, the approximate solution is assumed to have the form of a polynomial in the
variable t = xα
, where α is a positive real parameter of our choice. The problem is firstly
expressed in vectoral form via substituting the matrix counterparts of the terms present
in the equation. After taking inner product of this vector with nonnegative integer powers
of t up to a More >