Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics

Roman Leibov, S. Jemioło, A. Zbiciak, M. Mitew-Czajewska, M. Krzemiński, M. Gajewski
2017 MATEC Web of Conferences  
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
more » ... as. The matrices of bilinear differential equations system are estimated through nonlinear programming. The results of proposed approach application are presented.
doi:10.1051/matecconf/201711700103 fatcat:jssct5v3ybapbpkuiws2h7cwzu