| Issue |
MATEC Web Conf.
Volume 117, 2017
RSP 2017 – XXVI R-S-P Seminar 2017 Theoretical Foundation of Civil Engineering
|
|
|---|---|---|
| Article Number | 00103 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/matecconf/201711700103 | |
| Published online | 24 July 2017 | |
Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics
Moscow state university of civil engineering, Yaroslavskoye shosse, 26, Moscow, Russia, 129337
* Corresponding author: r_leibov@mtu-net.ru
This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible. Then piecewise-linear approximation of nonlinear differential equations can be used. The bilinear differential equations allow to improve piecewise-linear differential equations behavior and reduce errors on the border of different linear differential equations systems areas. The matrices of bilinear differential equations system are estimated through nonlinear programming. The results of proposed approach application are presented.
© The Authors, published by EDP Sciences, 2017
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