Optimized fourth-order Runge-Kutta method for solving oscillatory problems

Kasim Hussain, Fudziah Ismail, Norazak Senu, Faranak Rabiei

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

3 Citations (Scopus)

Abstract

In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numerical tests from its implementation to well-known oscillatory problems illustrate the robustness and competence of the new method as compared to the well-known Runge-Kutta methods in the scientific literature.

Original languageEnglish
Title of host publicationInnovations Through Mathematical and Statistical Research
Subtitle of host publicationProceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016
EditorsSiti Nur Iqmal Ibrahim, Lai Soon Lee, Md. Sohel Rana, Fong Peng Lim, Mai Zurwatul Ahlam Mohd Jaffar, Mohd Shafie Mustafa, Chuei Yee Chen
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735413962
DOIs
Publication statusPublished - 2 Jun 2016
Externally publishedYes
EventInternational Conference on Mathematical Sciences and Statistics 2016 - Kuala Lumpur, Malaysia
Duration: 26 Jan 201628 Jan 2016
Conference number: 2nd
https://aip.scitation.org/toc/apc/1739/1 (Proceedings)

Publication series

NameAIP Conference Proceedings
Volume1739
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematical Sciences and Statistics 2016
Abbreviated titleICMSS 2016
CountryMalaysia
CityKuala Lumpur
Period26/01/1628/01/16
Internet address

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