Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations

Mohammed Alshbool, Ishak Hashim

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

Abstract

In this paper, Bernstein polynomials method (B-polynomials) is applied to solve nonlinear stiff systems of ordinary differential equations. We present an approximate solution that depends on Bernstein polynomials method and collocation points. The procedure of the method will be explained briefly and illustrative examples are included to demonstrate the validity of the method. The results of B-polynomials are compared with other several methods that solved nonlinear stiff system of ordinary differential equations. The results revealed the accuracy of the proposed method.

Original languageEnglish
Title of host publication2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1678
ISBN (Electronic)9780735413252
DOIs
Publication statusPublished - 25 Sep 2015
Event2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015 - Selangor, Malaysia
Duration: 15 Apr 201516 Apr 2015

Other

Other2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015
CountryMalaysia
CitySelangor
Period15/4/1516/4/15

Fingerprint

polynomials
differential equations
collocation

Keywords

  • Bernstein Polynomials
  • Stiff System

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alshbool, M., & Hashim, I. (2015). Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations. In 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium (Vol. 1678). [060015] American Institute of Physics Inc.. https://doi.org/10.1063/1.4931342

Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations. / Alshbool, Mohammed; Hashim, Ishak.

2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium. Vol. 1678 American Institute of Physics Inc., 2015. 060015.

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

Alshbool, M & Hashim, I 2015, Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations. in 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium. vol. 1678, 060015, American Institute of Physics Inc., 2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015, Selangor, Malaysia, 15/4/15. https://doi.org/10.1063/1.4931342
Alshbool M, Hashim I. Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations. In 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium. Vol. 1678. American Institute of Physics Inc. 2015. 060015 https://doi.org/10.1063/1.4931342
Alshbool, Mohammed ; Hashim, Ishak. / Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations. 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium. Vol. 1678 American Institute of Physics Inc., 2015.
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