Local one-dimensional scheme for the third boundary value problem for the heat equation

Владикавказский математический журнал ◽

10.23671/vnc.2011.1.11345 ◽

2011 ◽

Author(s):

А.К. Баззаев

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

В данной статье рассматриваются локально-одномерные схемы для уравнения теплопроводности с незнакоопределенным оператором в эллиптической части. Получена априорная оценка для их решения. Доказаны устойчивость и сходимость решения разностной задачи.

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The solution of the third boundary value problem for the two-dimensional heat conduction equation in an arbitrary region by a locally one-dimensional method

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(66)90136-4 ◽

1966 ◽

Vol 6 (3) ◽

pp. 103-125 ◽

Author(s):

I.V. Fryazinov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Two Dimensional ◽

Arbitrary Region ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

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Simulation of the third boundary value problem for multidimensional parabolic equations in an arbitrary domain by one-dimensional equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(74)90157-8 ◽

1974 ◽

Vol 14 (1) ◽

pp. 249-253 ◽

Author(s):

D.G. Gordeziani ◽

G.V. Meladze

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Arbitrary Domain ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

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Locally One-Dimensional Difference Scheme for the Third Boundary Value Problem for a Parabolic Equation of the General Form with a Nonlocal Source

Differential Equations ◽

10.1134/s0012266118070042 ◽

2018 ◽

Vol 54 (7) ◽

pp. 870-880 ◽

Author(s):

Z. V. Beshtokova ◽

M. Kh. Shkhanukov-Lafishev

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Difference Scheme ◽

Boundary Value ◽

Nonlocal Source ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

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Alternating direction Galerkin method of solving the third boundary value problem for two-dimensional parabolic equations

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1987.2.6.437 ◽

1987 ◽

Vol 2 (6) ◽

Author(s):

YU. M. LAEVSKY

Keyword(s):

Boundary Value Problem ◽

Galerkin Method ◽

Parabolic Equations ◽

Boundary Value ◽

Two Dimensional ◽

The Third ◽

Alternating Direction ◽

Third Boundary Value Problem

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Difference approximation of the boundary conditions for the third boundary value problem

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90090-4 ◽

1964 ◽

Vol 4 (6) ◽

pp. 180-188 ◽

Author(s):

I.V. Fryazinov

Keyword(s):

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Value ◽

Difference Approximation ◽

The Third ◽

Third Boundary Value Problem

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The third boundary value problem for loaded differential Sobolev type equation and grid methods of their numerical implementation

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/158/1/012019 ◽

2016 ◽

Vol 158 ◽

pp. 012019 ◽

Author(s):

M KH Beshtokov

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Type Equation ◽

Sobolev Type ◽

Numerical Implementation ◽

The Third ◽

Third Boundary Value Problem ◽

Sobolev Type Equation

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The convergence of difference schemes with a splitting operator approximating the third boundary value problem for a parabolic equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(69)90096-2 ◽

1969 ◽

Vol 9 (2) ◽

pp. 107-123

Author(s):

V.B. Andreev

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Difference Schemes ◽

The Third ◽

Third Boundary Value Problem

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Economic schemes for a modification of the third boundary value problem

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(73)90134-1 ◽

1973 ◽

Vol 13 (2) ◽

pp. 105-115

Author(s):

T.S. Efremova ◽

I.V. Fryazinov

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

The Third ◽

Third Boundary Value Problem

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On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle

10.1063/1.4893843 ◽

2014 ◽

Author(s):

Makhmud A. Sadybekov ◽

Berikbol T. Torebek ◽

Batirkhan Kh. Turmetov

Keyword(s):

Green Function ◽

Boundary Value Problem ◽

Explicit Form ◽

Poisson Equation ◽

Boundary Value ◽

The Third ◽

The Poisson Equation ◽

The Green Function ◽

Third Boundary Value Problem

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The third boundary value problem for the system of equations of linear thermoelasticity

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478908040066 ◽

2008 ◽

Vol 2 (4) ◽

pp. 501-507 ◽

Author(s):

I. A. Kaliev ◽

M. F. Mugafarov

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

System Of Equations ◽

The Third ◽

Linear Thermoelasticity ◽

Third Boundary Value Problem

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