1972
DOI: 10.1016/0041-5553(72)90035-3
|View full text |Cite
|
Sign up to set email alerts
|

Solution by separation of the variables of some mixed boundary value problems in the hydrodynamics of conducting media

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2021
2021
2022
2022

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(2 citation statements)
references
References 2 publications
0
2
0
Order By: Relevance
“…The first steps of the generalized Fourier method algorithm for regions with a curvilinear boundary coincide with similar steps of the classical Fourier method. The solution of problem ( 1) is also sought in the form of a product (2), whose substitution in the differential equation (1) leads to equation (3), and the boundary condition (1) gives (4). The same Sturm-Liouville boundary value problem (5) arises.…”
Section: The Algorithm Of the Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The first steps of the generalized Fourier method algorithm for regions with a curvilinear boundary coincide with similar steps of the classical Fourier method. The solution of problem ( 1) is also sought in the form of a product (2), whose substitution in the differential equation (1) leads to equation (3), and the boundary condition (1) gives (4). The same Sturm-Liouville boundary value problem (5) arises.…”
Section: The Algorithm Of the Methodsmentioning
confidence: 99%
“…The classical Fourier method is applicable only for solving boundary value and initial boundary value problems for regions of classical shape, which is noted, for example, in solving contact problems [2] for elastic bodies with curvilinear boundaries. The solutions obtained by the classical Fourier method are given, in particular, in the articles [3,4], the application of the method is considered in many books, for example, in [5]. Other areas of development of mathematical tools for solving problems for areas with curvilinear boundaries are associated, first, with the creation and application of a number of methods other than the Fourier method, for example [2,6,7,8], and, secondly, with a modification of the Fourier method itself.…”
Section: Introduction Problem Statementmentioning
confidence: 99%