# 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 language English 343-357 15 International Journal of Mathematics and Computer Science 14 2 Published - 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

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

Research output: Contribution to journalArticle

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