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

S. N. Khataybeh; I. Hashim

doi:10.1063/1.5028042

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

S. N. Khataybeh
, I. Hashim

Universiti Kebangsaan Malaysia

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

1 Scopus citations

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 language	English
Title of host publication	2017 UKM FST Postgraduate Colloquium
Subtitle of host publication	Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium
Editors	Kamarulzaman Ibrahim, Marlia Mohd Hanafiah, Lim Seng Joe, Noor Hayati Ahmad Rasol, Mohammad Hafizuddin Hj. Jumali, Doris Quay Xia, Zalita Zainuddin, Siti Aishah Hasbullah, Mohd Salmi Md Noorani, Nazlina Ibrahim, Norlida Mat Daud, Nur Hasyareeda Hassan, Zahari Ibarahim, Babul Arianah Othman, Khairiatul Mardiana Jansar, Farah Hanan Anuar, Noraziyah Abd Aziz
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416321
DOIs	https://doi.org/10.1063/1.5028042
State	Published - 4 Apr 2018
Externally published	Yes
Event	2017 UKM FST Postgraduate Colloquium - Selangor, Malaysia Duration: 12 Jul 2017 → 13 Jul 2017

Publication series

Name	AIP Conference Proceedings
Volume	1940
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2017 UKM FST Postgraduate Colloquium
Country/Territory	Malaysia
City	Selangor
Period	12/07/17 → 13/07/17

Access to Document

10.1063/1.5028042

Cite this

Khataybeh, S. N., & Hashim, I. (2018). On method of solving third-order ordinary differential equations directly using Bernstein polynomials. In K. Ibrahim, M. M. Hanafiah, L. S. Joe, N. H. A. Rasol, M. H. H. Jumali, D. Q. Xia, Z. Zainuddin, S. A. Hasbullah, M. S. M. Noorani, N. Ibrahim, N. M. Daud, N. H. Hassan, Z. Ibarahim, B. A. Othman, K. M. Jansar, F. H. Anuar, & N. A. Aziz (Eds.), 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium Article 020127 (AIP Conference Proceedings; Vol. 1940). American Institute of Physics Inc.. https://doi.org/10.1063/1.5028042

Khataybeh, S. N. ; Hashim, I. / 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. editor / Kamarulzaman Ibrahim ; Marlia Mohd Hanafiah ; Lim Seng Joe ; Noor Hayati Ahmad Rasol ; Mohammad Hafizuddin Hj. Jumali ; Doris Quay Xia ; Zalita Zainuddin ; Siti Aishah Hasbullah ; Mohd Salmi Md Noorani ; Nazlina Ibrahim ; Norlida Mat Daud ; Nur Hasyareeda Hassan ; Zahari Ibarahim ; Babul Arianah Othman ; Khairiatul Mardiana Jansar ; Farah Hanan Anuar ; Noraziyah Abd Aziz. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

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title = "On method of solving third-order ordinary differential equations directly using Bernstein polynomials",

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.",

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

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; 2017 UKM FST Postgraduate Colloquium ; Conference date: 12-07-2017 Through 13-07-2017",

year = "2018",

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doi = "10.1063/1.5028042",

language = "English",

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editor = "Kamarulzaman Ibrahim and Hanafiah, \{Marlia Mohd\} and Joe, \{Lim Seng\} and Rasol, \{Noor Hayati Ahmad\} and Jumali, \{Mohammad Hafizuddin Hj.\} and Xia, \{Doris Quay\} and Zalita Zainuddin and Hasbullah, \{Siti Aishah\} and Noorani, \{Mohd Salmi Md\} and Nazlina Ibrahim and Daud, \{Norlida Mat\} and Hassan, \{Nur Hasyareeda\} and Zahari Ibarahim and Othman, \{Babul Arianah\} and Jansar, \{Khairiatul Mardiana\} and Anuar, \{Farah Hanan\} and Aziz, \{Noraziyah Abd\}",

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Khataybeh, SN & Hashim, I 2018, On method of solving third-order ordinary differential equations directly using Bernstein polynomials. in K Ibrahim, MM Hanafiah, LS Joe, NHA Rasol, MHH Jumali, DQ Xia, Z Zainuddin, SA Hasbullah, MSM Noorani, N Ibrahim, NM Daud, NH Hassan, Z Ibarahim, BA Othman, KM Jansar, FH Anuar & NA Aziz (eds), 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium., 020127, AIP Conference Proceedings, vol. 1940, American Institute of Physics Inc., 2017 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 12/07/17. https://doi.org/10.1063/1.5028042

On method of solving third-order ordinary differential equations directly using Bernstein polynomials. / Khataybeh, S. N.; Hashim, I.
2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. ed. / Kamarulzaman Ibrahim; Marlia Mohd Hanafiah; Lim Seng Joe; Noor Hayati Ahmad Rasol; Mohammad Hafizuddin Hj. Jumali; Doris Quay Xia; Zalita Zainuddin; Siti Aishah Hasbullah; Mohd Salmi Md Noorani; Nazlina Ibrahim; Norlida Mat Daud; Nur Hasyareeda Hassan; Zahari Ibarahim; Babul Arianah Othman; Khairiatul Mardiana Jansar; Farah Hanan Anuar; Noraziyah Abd Aziz. American Institute of Physics Inc., 2018. 020127 (AIP Conference Proceedings; Vol. 1940).

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

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AU - Khataybeh, S. N.

AU - Hashim, I.

PY - 2018/4/4

Y1 - 2018/4/4

N2 - 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.

AB - 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.

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DO - 10.1063/1.5028042

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T3 - AIP Conference Proceedings

BT - 2017 UKM FST Postgraduate Colloquium

A2 - Ibrahim, Kamarulzaman

A2 - Hanafiah, Marlia Mohd

A2 - Joe, Lim Seng

A2 - Rasol, Noor Hayati Ahmad

A2 - Jumali, Mohammad Hafizuddin Hj.

A2 - Xia, Doris Quay

A2 - Zainuddin, Zalita

A2 - Hasbullah, Siti Aishah

A2 - Noorani, Mohd Salmi Md

A2 - Ibrahim, Nazlina

A2 - Daud, Norlida Mat

A2 - Hassan, Nur Hasyareeda

A2 - Ibarahim, Zahari

A2 - Othman, Babul Arianah

A2 - Jansar, Khairiatul Mardiana

A2 - Anuar, Farah Hanan

A2 - Aziz, Noraziyah Abd

PB - American Institute of Physics Inc.

T2 - 2017 UKM FST Postgraduate Colloquium

Y2 - 12 July 2017 through 13 July 2017

ER -

Khataybeh SN, Hashim I. On method of solving third-order ordinary differential equations directly using Bernstein polynomials. In Ibrahim K, Hanafiah MM, Joe LS, Rasol NHA, Jumali MHH, Xia DQ, Zainuddin Z, Hasbullah SA, Noorani MSM, Ibrahim N, Daud NM, Hassan NH, Ibarahim Z, Othman BA, Jansar KM, Anuar FH, Aziz NA, editors, 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. American Institute of Physics Inc. 2018. 020127. (AIP Conference Proceedings). doi: 10.1063/1.5028042

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

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