학술논문
On method of solving third-order ordinary differential equations directly using Bernstein polynomials.
Document Type
Article
Author
Source
Subject
*ORDINARY differential equations
*BERNSTEIN polynomials
*ALGEBRAIC equations
*NUMERICAL solutions to differential equations
*MATHEMATICAL analysis
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Language
ISSN
0094-243X
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. [ABSTRACT FROM AUTHOR]