Solving special second order ordinary differential equations by four-stage explicit hybrid methods

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

Abstract

This paper investigates the derivation of a four-stage fourth-order two step explicit hybrid method and its exponentially fitted variant for solving special second order ordinary differential equations. The free parameters are selected such that the fourth-order method has phase lag of order six and zero dissipation error. Numerical experiments that have been carried out show that the four-stage fourth-order explicit hybrid method gives the best accuracy for linear second order problems while the exponentially fitted variant improves the accuracy of the fourth-order method only for problems involving exponentials.

Original languageEnglish
Title of host publication4th Innovation and Analytics Conference and Exhibition, IACE 2019
EditorsHaslinda Ibrahim, Abdul Malek Yaakob, Nazrina Aziz, Jafri Zulkepli
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418813
DOIs
Publication statusPublished - 21 Aug 2019
Event4th Innovation and Analytics Conference and Exhibition, IACE 2019 - Kedah, Malaysia
Duration: 25 Mar 201928 Mar 2019

Publication series

NameAIP Conference Proceedings
Volume2138
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference4th Innovation and Analytics Conference and Exhibition, IACE 2019
CountryMalaysia
CityKedah
Period25/3/1928/3/19

Fingerprint

differential equations
time lag
derivation
dissipation
methodology
method
experiment

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Faieza, S., & Ismail, E. S. (2019). Solving special second order ordinary differential equations by four-stage explicit hybrid methods. In H. Ibrahim, A. M. Yaakob, N. Aziz, & J. Zulkepli (Eds.), 4th Innovation and Analytics Conference and Exhibition, IACE 2019 [030035] (AIP Conference Proceedings; Vol. 2138). American Institute of Physics Inc.. https://doi.org/10.1063/1.5121072

Solving special second order ordinary differential equations by four-stage explicit hybrid methods. / Faieza, Samat; Ismail, Eddie Shahril.

4th Innovation and Analytics Conference and Exhibition, IACE 2019. ed. / Haslinda Ibrahim; Abdul Malek Yaakob; Nazrina Aziz; Jafri Zulkepli. American Institute of Physics Inc., 2019. 030035 (AIP Conference Proceedings; Vol. 2138).

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

Faieza, S & Ismail, ES 2019, Solving special second order ordinary differential equations by four-stage explicit hybrid methods. in H Ibrahim, AM Yaakob, N Aziz & J Zulkepli (eds), 4th Innovation and Analytics Conference and Exhibition, IACE 2019., 030035, AIP Conference Proceedings, vol. 2138, American Institute of Physics Inc., 4th Innovation and Analytics Conference and Exhibition, IACE 2019, Kedah, Malaysia, 25/3/19. https://doi.org/10.1063/1.5121072
Faieza S, Ismail ES. Solving special second order ordinary differential equations by four-stage explicit hybrid methods. In Ibrahim H, Yaakob AM, Aziz N, Zulkepli J, editors, 4th Innovation and Analytics Conference and Exhibition, IACE 2019. American Institute of Physics Inc. 2019. 030035. (AIP Conference Proceedings). https://doi.org/10.1063/1.5121072
Faieza, Samat ; Ismail, Eddie Shahril. / Solving special second order ordinary differential equations by four-stage explicit hybrid methods. 4th Innovation and Analytics Conference and Exhibition, IACE 2019. editor / Haslinda Ibrahim ; Abdul Malek Yaakob ; Nazrina Aziz ; Jafri Zulkepli. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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