Fidele F. Ngwane, Samuel N. Jator
Abstract:
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.
Show me the PDF file (519 K), TEX file, and other files for this article.
Fidele F. Ngwane Department of Mathematics University of south Caroline Salkehatchie, SC 29488, USA email: fifonge@yahoo.com | |
Samuel N. Jator Department of Mathematics and Statistics Austin Peay State University Clarksville, TN 37044, USA email: Jators@apsu.edu |
Return to the table of contents
for this conference.
Return to the EJDE web page