Direct solution of second-order system of ODEs using Bernstein polynomials

S. N. Khataybeh, Ishak Hashim

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

Abstract

In this paper, we propose a direct method based on Bernstein polynomials for solving systems of second-orderordinary differential equations (ODEs). This method gives a numerical solution by converting thesystem to a system of algebraic equations which is solved directly. Some numerical examples are givento show the applicability of the method.

Original languageEnglish
Title of host publicationProceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017
Subtitle of host publicationMathematical Sciences as the Core of Intellectual Excellence
PublisherAmerican Institute of Physics Inc.
Volume1974
ISBN (Electronic)9780735416819
DOIs
Publication statusPublished - 28 Jun 2018
Event25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017 - Kuantan, Pahang, Malaysia
Duration: 27 Aug 201729 Aug 2017

Other

Other25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017
CountryMalaysia
CityKuantan, Pahang
Period27/8/1729/8/17

Fingerprint

polynomials
differential equations

Keywords

  • Approximation
  • Bernstein polynomials
  • ODEs
  • Systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Khataybeh, S. N., & Hashim, I. (2018). Direct solution of second-order system of ODEs using Bernstein polynomials. In Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence (Vol. 1974). [020090] American Institute of Physics Inc.. https://doi.org/10.1063/1.5041621

Direct solution of second-order system of ODEs using Bernstein polynomials. / Khataybeh, S. N.; Hashim, Ishak.

Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974 American Institute of Physics Inc., 2018. 020090.

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

Khataybeh, SN & Hashim, I 2018, Direct solution of second-order system of ODEs using Bernstein polynomials. in Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. vol. 1974, 020090, American Institute of Physics Inc., 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017, Kuantan, Pahang, Malaysia, 27/8/17. https://doi.org/10.1063/1.5041621
Khataybeh SN, Hashim I. Direct solution of second-order system of ODEs using Bernstein polynomials. In Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974. American Institute of Physics Inc. 2018. 020090 https://doi.org/10.1063/1.5041621
Khataybeh, S. N. ; Hashim, Ishak. / Direct solution of second-order system of ODEs using Bernstein polynomials. Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974 American Institute of Physics Inc., 2018.
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