General Method for Constructing of the Exact Solution of the Problem for Non-Stationary Heat Conductivity Equation in the Complex Field

被引：0

作者：

Lytvyn, Oleg M. ^{[1
]}

Zaluzhna, Galina ^{[1
]}

Nefodova, Inna ^{[1
]}

Pershyna, Iuliia ^{[1
]}

Nechuiviter, Olesia ^{[1
]}

机构：

[1] Ukrainian Engn & Pedag Acad, Dept Informat Comp Technol & Math, Kharkiv, Ukraine

来源：

2020 10TH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER INFORMATION TECHNOLOGIES (ACIT) | 2020年

关键词：

non-stationary problem of heat-conducting; finite elements method; spline interlination of functions of two variables;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposes a general method for constructing of the exact solutions of boundary-value problems for differential parabolic type equations in fields of complex shape. The exact solutions built using spline-interlination of the functions. An example of constructing an exact solution is considered.

引用

页码：144 / 147

页数：4

共 50 条

[1] Approximate Solution of an Inverse Problem for a Non-Stationary General Kinetic Equation
Yidiz, Mustafa
Heydarov, Bayram
Golgeleyen, Ismet
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 62 (03): : 255 - 264
[2] THE METHOD OF SOLUTION OF THE PROBLEM OF THE NON-STATIONARY MOTIONS OF A PLASMA IN AN ELECTROMAGNETIC FIELD
LEGATOWICZ, A
[J]. NUCLEAR FUSION, 1962, : 1116 - 1116
[3] On the Solution of a Coefficient Inverse Problem for the Non-stationary Kinetic Equation
Yildiz, Mustafa
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 45 (02): : 141 - 154
[4] ON THE SOLUTION OF THE NON-STATIONARY SCHRODINGER EQUATION
Mishcharina, Elena Yuryevna
Libin, Eduard Efimovich
Bubenchikov, Mikhail Alekseevich
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2016, (05): : 28 - 34
[5] Solving the Heat Equation Problem under Periodic Non-Stationary Conditions
Hechavarria, Rodney
Coello-Fiallos, Diana
[J]. PROCEEDINGS OF THE 2ND INTERNATIONAL CONGRESS ON PHYSICS ESPOCH (ICPE-2017), 2018, 2003
[6] A METHOD OF SOLUTION OF NON-STATIONARY MOTIONS OF A PLASMA IN AN ELECTROMAGNETIC FIELD
LEGATOWICZ, A
[J]. NUCLEAR FUSION, 1962, 2 (1-2) : 12 - 15
[7] On the use of complex functions in solving non-stationary problems of heat conductivity in a multilayered medium by the Fourier method
Gladyshev, Y. A.
Kalmanovich, V. V.
Loshkareva, E. A.
[J]. APPLIED MATHEMATICS, COMPUTATIONAL SCIENCE AND MECHANICS: CURRENT PROBLEMS, 2020, 1479
[8] Numerical implementations of dynamical probe method for non-stationary heat equation
Daido, Y.
Lei, Y.
Liu, J.
Nakamura, G.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 510 - 521
[9] ANALYTIC SOLUTION TO A SIMPLE NON-STATIONARY PROBLEM OF NON-DIABATIC HEAT EXPLOSION
MERZHANO.AG
GRIGOREV, YM
[J]. DOKLADY AKADEMII NAUK SSSR, 1967, 176 (06): : 1344 - &
[10] Solution of Inverse Problem of Non-Stationary Heat Conduction Using a Laplace Transform
Frackowiak, Andrzej
Wroblewska, Agnieszka
Cialkowski, Michal
[J]. HEAT TRANSFER ENGINEERING, 2023, 44 (11-12) : 1061 - 1071

← 1 2 3 4 5 →