Direct solution of second-order system of ODEs using Bernstein polynomials on an arbitrary interval

Sana'a Nazmi Khataybeh, Ishak Hashim

Research output: Contribution to journalArticle

Abstract

In this paper, we propose a direct method based on the Bernstein polynomials for solving systems of second-order ordinary differential equations (ODEs) on an arbitrary interval. This method gives numerical solutions by converting the ODE system into a system of algebraic equations which can be solved easily. The approximate solutions are given in series form. Some numerical examples are given to show the applicability of the method.

Original languageEnglish
Pages (from-to)343-357
Number of pages15
JournalInternational Journal of Mathematics and Computer Science
Volume14
Issue number2
Publication statusPublished - 1 Jan 2019

Fingerprint

Bernstein Polynomials
Second-order Systems
System of Ordinary Differential Equations
Ordinary differential equations
Polynomials
Interval
Arbitrary
Numerical methods
Second-order Ordinary Differential Equations
Direct Method
Algebraic Equation
Ordinary differential equation
Approximate Solution
Numerical Solution
Numerical Examples
Series

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Algebra and Number Theory
  • Statistics and Probability
  • Numerical Analysis
  • Modelling and Simulation
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics
  • Applied Mathematics

Cite this

Direct solution of second-order system of ODEs using Bernstein polynomials on an arbitrary interval. / Khataybeh, Sana'a Nazmi; Hashim, Ishak.

In: International Journal of Mathematics and Computer Science, Vol. 14, No. 2, 01.01.2019, p. 343-357.

Research output: Contribution to journalArticle

@article{fdcb97b0c37c461e9779c6c320295b86,
title = "Direct solution of second-order system of ODEs using Bernstein polynomials on an arbitrary interval",
abstract = "In this paper, we propose a direct method based on the Bernstein polynomials for solving systems of second-order ordinary differential equations (ODEs) on an arbitrary interval. This method gives numerical solutions by converting the ODE system into a system of algebraic equations which can be solved easily. The approximate solutions are given in series form. Some numerical examples are given to show the applicability of the method.",
author = "Khataybeh, {Sana'a Nazmi} and Ishak Hashim",
year = "2019",
month = "1",
day = "1",
language = "English",
volume = "14",
pages = "343--357",
journal = "International Journal of Mathematics and Computer Science",
issn = "1814-0424",
publisher = "Badih Ghusayni",
number = "2",

}

TY - JOUR

T1 - Direct solution of second-order system of ODEs using Bernstein polynomials on an arbitrary interval

AU - Khataybeh, Sana'a Nazmi

AU - Hashim, Ishak

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, we propose a direct method based on the Bernstein polynomials for solving systems of second-order ordinary differential equations (ODEs) on an arbitrary interval. This method gives numerical solutions by converting the ODE system into a system of algebraic equations which can be solved easily. The approximate solutions are given in series form. Some numerical examples are given to show the applicability of the method.

AB - In this paper, we propose a direct method based on the Bernstein polynomials for solving systems of second-order ordinary differential equations (ODEs) on an arbitrary interval. This method gives numerical solutions by converting the ODE system into a system of algebraic equations which can be solved easily. The approximate solutions are given in series form. Some numerical examples are given to show the applicability of the method.

UR - http://www.scopus.com/inward/record.url?scp=85069057330&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85069057330&partnerID=8YFLogxK

M3 - Article

VL - 14

SP - 343

EP - 357

JO - International Journal of Mathematics and Computer Science

JF - International Journal of Mathematics and Computer Science

SN - 1814-0424

IS - 2

ER -