Metadata (abstracts and keywords) for the articles in the journal
V.N. Orlov, R.V. Razakova An approximate solution of the one class third order onlinear differential equation in the analyticity domain // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2020. № 1(43). p. 45-54
Author(s):
V.N. Orlov, R.V. Razakova
Index of UDK:
517.95:515.172.22
Name of article:
An approximate solution of the one class third order onlinear differential equation in the analyticity domain
Keywords:
nonlinear differential equation, domain of analytic, a priori estimates, approximate analytical solution, moving singular point.
Abstracts:
There is a class of third-order nonlinear differential equations with polynomial right part of the sixth degree considered in the paper. The existence and uniqueness theorem of a solution in the domain of analyticity is proved by authors. There is an analytical approximate solution which was constructed by V. Orlov and R. Razakova. A variant of optimization of a priori estimates using posterior ones is proposed by authors. A numerical experiment is carried out too.
The contact details of authors:
Viktor Nikolaevich Orlov, Dr. Phys. & Math. Sci., Associate Professor, Moscow State University of Civil Engineering, Moscow, Russia.
Razakova Rio-Rita Vadimovna, magister, Moscow State University of Civil Engineering, Moscow, Russia.
Russian
English