Moscow State Academy of Water Transport, Moscow, Russian Federation

DOI10.17223/19988621/38/4OpenAlexW4255091319MaRDI QIDQ5042831

D. Yu. Ivanov

Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu491

zbMATH Keywords

regularityexistenceuniquenessheat conductionboundary integral equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items

CLOSEDNESS OF SUMS OF UNBOUNDED OPERATORS ACTING ON DIFFERENT VARIABLES IN THE SPACES OF SQUARE-INTEGRABLE FUNCTIONS OF SEVERAL VARIABLES ⋮ ON SOLVING PLANE PROBLEMS OF NON-STATIONARY HEAT CONDUCTION BY THE COLLOCATION BOUNDARY ELEMENT METHOD ⋮ A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN USING SEMIANALYTIC APPROXIMATION OF THE DOUBLE LAYER HEAT POTENTIAL ⋮ A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF DOMAIN IN THE CASE OF TWO-DIMENSIONAL PROBLEMS OF NON-STATIONARY HEAT CONDUCTION WITH BOUNDARY CONDITIONS OF THE SECOND AND THIRD KIND. ⋮ SOLUTION OF BOUNDARY PROBLEMS FOR A TWO-DIMENSIONAL ELLIPTIC OPERATOR-DIFFERENTIAL EQUATION IN AN ABSTRACT HILBERT SPACE USING THE METHOD OF BOUNDARY INTEGRAL EQUATIONS ⋮ ON THE JOINT APPLICATION OF THE COLLOCATION BOUNDARY ELEMENT METHOD AND THE FOURIER METHOD FOR SOLVING PROBLEMS OF HEAT CONDUCTION IN FINITE CYLINDERS WITH SMOOTH DIRECTRICES ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of two-dimensional boundary value problems corresponding to initial-boundary value problems of diffusion on a right cylinder
• Boundary integral operators for the heat equation
• Boundary integral solutions of the heat equation
• On the convergence of boundary element methods for initial-Neumann problems for the heat equation