Quasianalytical solution of inhomogeneous differential equation with cubic nonlinearity

DOI

10.2991/itsmssm-17.2017.22How to use a DOI?

Keywords

numerical methods for solving ordinary differential equations, nonlinear differential equations, Cauchy problem, phase portrait, fundamental system of solutions, equilibrium points.

Abstract

this paper considers a method for solving Cauchy problem of nonlinear differential equation. Source of solution error and way to reduce it is studied. Solution obtained with suggested method is compared with solution obtained with built-in MATLAB functions.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tatiana Inkhireeva
AU  - Vyacheslav Zimin
PY  - 2017/12
DA  - 2017/12
TI  - Quasianalytical solution of inhomogeneous differential equation with cubic nonlinearity
BT  - Proceedings of the IV International research conference "Information technologies in Science, Management, Social sphere and Medicine" (ITSMSSM 2017)
PB  - Atlantis Press
SP  - 103
EP  - 107
SN  - 2352-538X
UR  - https://doi.org/10.2991/itsmssm-17.2017.22
DO  - 10.2991/itsmssm-17.2017.22
ID  - Inkhireeva2017/12
ER  -