Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems

Citation

Jikantoro, Y. D. and Ismail, Fudziah and Senu, Norazak (2015) Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems. Journal of Applied Mathematics and Computation, 252. pp. 388-396. ISSN 2576-0645; ESSN: 2576-0653

Abstract

In this paper, a new semi-implicit two-step hybrid method with fifth algebraic order is derived for the integration of second-order oscillatory initial value problems. The new method possesses dispersion of order eight and dissipation of order infinity. Numerical experiment reveals the superiority of the new method for solving oscillatory or periodic problems over several methods of the same algebraic order in the literature.

Download File

Text
Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems.pdf
Download (76kB)

Official URL or Download Paper: https://www.sciencedirect.com/science/article/pii/...

Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1016/j.amc.2014.12.020
Publisher:	Hill Publishing Group
Keywords:	Oscillatory solution; Dispersion; Dissipation; Hybrid method; Initial value problem; Oscillatory problem
Depositing User:	Ms. Ainur Aqidah Hamzah
Date Deposited:	07 Jul 2022 05:08
Last Modified:	07 Jul 2022 05:08
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.amc.2014.12.020
URI:	http://psasir.upm.edu.my/id/eprint/46917
Statistic Details:	View Download Statistic

Actions (login required)

View Item