| Issue |
MATEC Web Conf.
Volume 196, 2018
XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|
|
|---|---|---|
| Article Number | 01016 | |
| Number of page(s) | 7 | |
| Section | Structural Mechanics | |
| DOI | https://doi.org/10.1051/matecconf/201819601016 | |
| Published online | 03 September 2018 | |
Method for finding majorant function estimates required to determine Picard’s successive approximations convergence domain
Moscow State University of Civil Engineering,
Yaroslavskoye Shosse, 26,
Moscow,
129337,
Russia
*
Corresponding author: verapetelina51@gmail.com
This paper deals with convergence of Picard’s successive approximations, which give a solution for perturbed body motion differential equations system through constructing a majorizing linear differential equation. The task is to determine the domain of used variables where these successive approximations converge and to estimate how large the error will be if we take a finite number of approximations. A method for finding majorant function estimates required to determine Picard’s successive approximations convergence domain is constructed.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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