Maximal Order Block Trigonometrically Fitted Scheme for the Numerical Treatment of Second Order Initial Value Problem with Oscillating Solutions
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Date
2017
Authors
RI Abdulganiy, OA Akinfenwa, SA Okunuga
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Abstract
A Maximal Order Block Trigonometrically Fitted Method (MBTFM) whose
coefficients are functions of frequency and step size specially designed for the
solution of second order Initial Value Problems (IVPs) with oscillatory solution is
proposed in this paper. The MBTFM is obtained from one discrete formulae with
two complementary formula which are provided by Continuous Trigonometrically
Fitted Block Method (CTFBM). The convergence of the MBTFM is discussed and
the performance of the method is demonstrated on some numerical examples to
show accuracy and efficiency of the method
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Keywords
Collocation, Continuous Form, Convergence Keywords: , Maximal order, Trigonometrically Fitted.