Ninth MSU-UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 20 (2013), pp. 119-132.

Solving oscillatory problems using a block hybrid trigonometrically fitted method with two off-step points

Fidele F. Ngwane, Samuel N. Jator

A continuous hybrid method using trigonometric basis (CHMTB) with two "off-step" points is developed and used to produce three discrete hybrid methods which are simultaneously applied as numerical integrators by assembling them into a block hybrid trigonometrically fitted method (BHTFM) for solving oscillatory initial value problems (IVPs). The stability property of the BHTFM is discussed and the performance of the method is demonstrated on some numerical examples to show accuracy and efficiency advantages.

Published October 31, 2013.
Math Subject Classifications: 65L05, 65L06
Key Words: First order system; hybrid method; trigonometrically fitted method; off-step point; block method.

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Fidele F. Ngwane
Department of Mathematics
University of south Caroline
Salkehatchie, SC 29488, USA
Samuel N. Jator
Department of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA

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