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On approximate solutions to one class of nonlinear differential equations. / Matveeva, Inessa.

Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG, 2017. p. 221-231 (Communications in Computer and Information Science; Vol. 655).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Matveeva, I 2017, On approximate solutions to one class of nonlinear differential equations. in Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Communications in Computer and Information Science, vol. 655, Springer-Verlag GmbH and Co. KG, pp. 221-231, 3rd International Conference on Mathematics and Computing, ICMC 2017, Haldia, India, 17.01.2017. https://doi.org/10.1007/978-981-10-4642-1_19

APA

Matveeva, I. (2017). On approximate solutions to one class of nonlinear differential equations. In Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings (pp. 221-231). (Communications in Computer and Information Science; Vol. 655). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-981-10-4642-1_19

Vancouver

Matveeva I. On approximate solutions to one class of nonlinear differential equations. In Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG. 2017. p. 221-231. (Communications in Computer and Information Science). doi: 10.1007/978-981-10-4642-1_19

Author

Matveeva, Inessa. / On approximate solutions to one class of nonlinear differential equations. Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG, 2017. pp. 221-231 (Communications in Computer and Information Science).

BibTeX

@inproceedings{9510403ea6bb42fc94599a00bfff4e71,
title = "On approximate solutions to one class of nonlinear differential equations",
abstract = "We consider a class of systems of nonlinear ordinary differential equations with parameters. In particular, systems of such type arise when modeling the multistage synthesis of a substance. We study properties of solutions to the systems and propose a method for approximate solving the systems in the case of very large coefficients. We establish approximation estimates and show that the convergence rate depends on the parameters characterizing the nonlinearity of the systems. Moreover, the larger the coefficients of the systems, the more exact the approximate solutions. Thereby this method allows us to avoid difficulties arising inevitably when solving systems of nonlinear differential equations with very large coefficients.",
keywords = "Cauchy problem, Estimates for solutions, Large coefficients, Limit theorems, Systems of ordinary differential equations",
author = "Inessa Matveeva",
note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2017.; 3rd International Conference on Mathematics and Computing, ICMC 2017 ; Conference date: 17-01-2017 Through 21-01-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-981-10-4642-1_19",
language = "English",
isbn = "9789811046414",
series = "Communications in Computer and Information Science",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "221--231",
booktitle = "Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings",
address = "Germany",

}

RIS

TY - GEN

T1 - On approximate solutions to one class of nonlinear differential equations

AU - Matveeva, Inessa

N1 - Publisher Copyright: © Springer Nature Singapore Pte Ltd. 2017.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We consider a class of systems of nonlinear ordinary differential equations with parameters. In particular, systems of such type arise when modeling the multistage synthesis of a substance. We study properties of solutions to the systems and propose a method for approximate solving the systems in the case of very large coefficients. We establish approximation estimates and show that the convergence rate depends on the parameters characterizing the nonlinearity of the systems. Moreover, the larger the coefficients of the systems, the more exact the approximate solutions. Thereby this method allows us to avoid difficulties arising inevitably when solving systems of nonlinear differential equations with very large coefficients.

AB - We consider a class of systems of nonlinear ordinary differential equations with parameters. In particular, systems of such type arise when modeling the multistage synthesis of a substance. We study properties of solutions to the systems and propose a method for approximate solving the systems in the case of very large coefficients. We establish approximation estimates and show that the convergence rate depends on the parameters characterizing the nonlinearity of the systems. Moreover, the larger the coefficients of the systems, the more exact the approximate solutions. Thereby this method allows us to avoid difficulties arising inevitably when solving systems of nonlinear differential equations with very large coefficients.

KW - Cauchy problem

KW - Estimates for solutions

KW - Large coefficients

KW - Limit theorems

KW - Systems of ordinary differential equations

UR - http://www.scopus.com/inward/record.url?scp=85018442366&partnerID=8YFLogxK

U2 - 10.1007/978-981-10-4642-1_19

DO - 10.1007/978-981-10-4642-1_19

M3 - Conference contribution

AN - SCOPUS:85018442366

SN - 9789811046414

T3 - Communications in Computer and Information Science

SP - 221

EP - 231

BT - Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings

PB - Springer-Verlag GmbH and Co. KG

T2 - 3rd International Conference on Mathematics and Computing, ICMC 2017

Y2 - 17 January 2017 through 21 January 2017

ER -

ID: 10262683