### 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 language | English |
---|---|

Pages (from-to) | 343-357 |

Number of pages | 15 |

Journal | International Journal of Mathematics and Computer Science |

Volume | 14 |

Issue number | 2 |

Publication status | Published - 1 Jan 2019 |

### Fingerprint

### 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

*International Journal of Mathematics and Computer Science*,

*14*(2), 343-357.

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

Research output: Contribution to journal › Article

*International Journal of Mathematics and Computer Science*, vol. 14, no. 2, pp. 343-357.

}

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 -