Issue |
ITM Web Conf.
Volume 29, 2019
1st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|
|
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Article Number | 01014 | |
Number of page(s) | 7 | |
Section | Applied/Computational Mathematics | |
DOI | https://doi.org/10.1051/itmconf/20192901014 | |
Published online | 15 October 2019 |
Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method)
1
Departament of Mathematics, “Politehnica“ University of Timisoara,
Piata Victoriei 2,
300006 Timişoara,
Romania
3
Department of Mathematics and Statistics, Mississippi State University
3
Department of Mathematics, West University of Timisoara,
V.Parvan Blv. 4,
300223 Timisoara,
Romania
* e-mail: maria.lapadat@upt.ro
** e-mail: razzaghi@math.msstate.edu
*** e-mail: madalina.pasca79@e-uvt.ro
We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions. The accuracy of the method is illustrated by a comparison with approximate solutions previously computed using Bernstein polynomials method.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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