Metadata (abstracts and keywords) for the articles in the journal
M. V. Gasanov Investigation in the neighborhood of a moving singular point of a certain class of a third-order nonlinear differential equation for a complex domain // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2022. № 3(53). p. 75-85
Author(s):
M. V. Gasanov
Index of UDK:
517.957
DOI:
10.37972/chgpu.2022.53.3.008
Title:
Investigation in the neighborhood of a moving singular point of a certain class of a third-order nonlinear differential equation for a complex domain
Keywords:
Cauchy problem, existence and uniqueness theorem, moving singular points, a priori estimates
Abstracts:
In this paper, we study a certain class of differential equations with moving singularities. A generalization of the previously obtained results of the study, namely, the existence and uniqueness theorem for the solution of the considered class of equations, to the complex domain is given. The structure of the analytical approximate solution and a priori error estimates are obtained. These estimates were optimized using post hoc estimates. Theoretical provisions were tested using a numerical experiment.
The contact details of authors:
Gasanov Magomedyusuf Vladimirovich, Teacher, Moscow State University of Civil Engineering, Moscow, Russia
Russian
English