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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