On method of solving third-order ordinary differential equations directly using Bernstein polynomials

S. N. Khataybeh, Ishak Hashim

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

Abstract

In this paper, we propose for the first time a method based on Bernstein polynomials for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by converting the equation into a system of algebraic equations which is solved directly. Some numerical examples are given to show the applicability of the method.

Original languageEnglish
Title of host publication2017 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1940
ISBN (Electronic)9780735416321
DOIs
Publication statusPublished - 4 Apr 2018
Event2017 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 12 Jul 201713 Jul 2017

Other

Other2017 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period12/7/1713/7/17

Fingerprint

polynomials
differential equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Khataybeh, S. N., & Hashim, I. (2018). On method of solving third-order ordinary differential equations directly using Bernstein polynomials. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium (Vol. 1940). [020127] American Institute of Physics Inc.. https://doi.org/10.1063/1.5028042

On method of solving third-order ordinary differential equations directly using Bernstein polynomials. / Khataybeh, S. N.; Hashim, Ishak.

2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018. 020127.

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

Khataybeh, SN & Hashim, I 2018, On method of solving third-order ordinary differential equations directly using Bernstein polynomials. in 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. vol. 1940, 020127, American Institute of Physics Inc., 2017 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 12/7/17. https://doi.org/10.1063/1.5028042
Khataybeh SN, Hashim I. On method of solving third-order ordinary differential equations directly using Bernstein polynomials. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940. American Institute of Physics Inc. 2018. 020127 https://doi.org/10.1063/1.5028042
Khataybeh, S. N. ; Hashim, Ishak. / On method of solving third-order ordinary differential equations directly using Bernstein polynomials. 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018.
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