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

S. N. Khataybeh; I. Hashim

doi:10.1063/1.5041621

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

S. N. Khataybeh
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017
Subtitle of host publication	Mathematical Sciences as the Core of Intellectual Excellence
Editors	Hamidah Maidinsah, Sarifah Radiah Sharif, Wan Eny Zarina Wan Abdul Rahman, Ajab Bai Akbarally, Mesliza Mohamed, Daud Mohamad, Maheran Mohd Jaffar
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416819
DOIs	https://doi.org/10.1063/1.5041621
State	Published - 28 Jun 2018
Externally published	Yes
Event	25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017 - Kuantan, Pahang, Malaysia Duration: 27 Aug 2017 → 29 Aug 2017

Publication series

Name	AIP Conference Proceedings
Volume	1974
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017
Country/Territory	Malaysia
City	Kuantan, Pahang
Period	27/08/17 → 29/08/17

Keywords

Approximation
Bernstein polynomials
ODEs
Systems

Access to Document

10.1063/1.5041621

Cite this

Khataybeh, S. N., & Hashim, I. (2018). Direct solution of second-order system of ODEs using Bernstein polynomials. In H. Maidinsah, S. R. Sharif, W. E. Z. W. A. Rahman, A. B. Akbarally, M. Mohamed, D. Mohamad, & M. M. Jaffar (Eds.), Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence Article 020090 (AIP Conference Proceedings; Vol. 1974). American Institute of Physics Inc.. https://doi.org/10.1063/1.5041621

Khataybeh, S. N. ; Hashim, I. / 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. editor / Hamidah Maidinsah ; Sarifah Radiah Sharif ; Wan Eny Zarina Wan Abdul Rahman ; Ajab Bai Akbarally ; Mesliza Mohamed ; Daud Mohamad ; Maheran Mohd Jaffar. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

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title = "Direct solution of second-order system of ODEs using Bernstein polynomials",

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.",

keywords = "Approximation, Bernstein polynomials, ODEs, Systems",

author = "Khataybeh, \{S. N.\} and I. Hashim",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017 ; Conference date: 27-08-2017 Through 29-08-2017",

year = "2018",

month = jun,

day = "28",

doi = "10.1063/1.5041621",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Hamidah Maidinsah and Sharif, \{Sarifah Radiah\} and Rahman, \{Wan Eny Zarina Wan Abdul\} and Akbarally, \{Ajab Bai\} and Mesliza Mohamed and Daud Mohamad and Jaffar, \{Maheran Mohd\}",

booktitle = "Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017",

}

Khataybeh, SN & Hashim, I 2018, Direct solution of second-order system of ODEs using Bernstein polynomials. in H Maidinsah, SR Sharif, WEZWA Rahman, AB Akbarally, M Mohamed, D Mohamad & MM Jaffar (eds), Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence., 020090, AIP Conference Proceedings, vol. 1974, American Institute of Physics Inc., 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017, Kuantan, Pahang, Malaysia, 27/08/17. https://doi.org/10.1063/1.5041621

Direct solution of second-order system of ODEs using Bernstein polynomials. / Khataybeh, S. N.; Hashim, I.
Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. ed. / Hamidah Maidinsah; Sarifah Radiah Sharif; Wan Eny Zarina Wan Abdul Rahman; Ajab Bai Akbarally; Mesliza Mohamed; Daud Mohamad; Maheran Mohd Jaffar. American Institute of Physics Inc., 2018. 020090 (AIP Conference Proceedings; Vol. 1974).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Direct solution of second-order system of ODEs using Bernstein polynomials

AU - Khataybeh, S. N.

AU - Hashim, I.

PY - 2018/6/28

Y1 - 2018/6/28

N2 - 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.

AB - 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.

KW - Approximation

KW - Bernstein polynomials

KW - ODEs

KW - Systems

UR - https://www.scopus.com/pages/publications/85049790637

U2 - 10.1063/1.5041621

DO - 10.1063/1.5041621

M3 - Conference contribution

AN - SCOPUS:85049790637

T3 - AIP Conference Proceedings

BT - Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017

A2 - Maidinsah, Hamidah

A2 - Sharif, Sarifah Radiah

A2 - Rahman, Wan Eny Zarina Wan Abdul

A2 - Akbarally, Ajab Bai

A2 - Mohamed, Mesliza

A2 - Mohamad, Daud

A2 - Jaffar, Maheran Mohd

PB - American Institute of Physics Inc.

T2 - 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017

Y2 - 27 August 2017 through 29 August 2017

ER -

Khataybeh SN, Hashim I. Direct solution of second-order system of ODEs using Bernstein polynomials. In Maidinsah H, Sharif SR, Rahman WEZWA, Akbarally AB, Mohamed M, Mohamad D, Jaffar MM, editors, Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. American Institute of Physics Inc. 2018. 020090. (AIP Conference Proceedings). doi: 10.1063/1.5041621

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

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