Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(95)00086-0 ◽

1995 ◽

Vol 30 (3-6) ◽

pp. 59-68 ◽

Author(s):

H. Esser ◽

St.J. Goebbels ◽

G. Lüttgens ◽

R.J. Nessel

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Difference Scheme ◽

Error Bounds ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Initial Boundary Value ◽

Sharp Error ◽

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Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations

Journal of Engineering Mathematics ◽

10.1007/s10665-016-9858-6 ◽

2016 ◽

Vol 103 (1) ◽

pp. 23-37 ◽

Author(s):

Roman Chapko ◽

B. Tomas Johansson

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Solution ◽

Integral Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

3 Dimensional ◽

Initial Boundary Value

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Difference scheme for an initial–boundary value problem for a singularly perturbed transport equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517110136 ◽

2017 ◽

Vol 57 (11) ◽

pp. 1789-1795 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Boundary Value Problem ◽

Difference Scheme ◽

Transport Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Initial Boundary Value

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Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation

Mathematics of Computation ◽

10.1090/s0025-5718-1970-0260215-1 ◽

1970 ◽

Vol 24 (109) ◽

pp. 31-31 ◽

Author(s):

J. M. Varah

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Maximum Norm ◽

Difference Approximations ◽

Initial Boundary Value

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A nonlinear second initial boundary value problem for the heat equation

Quarterly of Applied Mathematics ◽

10.1090/qam/283419 ◽

1971 ◽

Vol 29 (2) ◽

pp. 261-268 ◽

Author(s):

C. Y. Chan

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Initial Boundary Value

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Determining the internal boundary of a region in the two-dimensional initial–boundary-value problem for the heat equation

Computational Mathematics and Modeling ◽

10.1007/s10598-011-9099-5 ◽

2011 ◽

Vol 22 (3) ◽

pp. 238-245 ◽

Author(s):

S. G. Golovina ◽

A. G. Razborov

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Internal Boundary ◽

Two Dimensional ◽

Initial Boundary Value

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Determining the boundary of a two-dimensional region from the solution of the external initial boundary-value problem for the heat equation

Computational Mathematics and Modeling ◽

10.1007/s10598-010-9061-y ◽

2010 ◽

Vol 21 (2) ◽

pp. 178-183 ◽

Author(s):

S. G. Golovina ◽

A. G. Razborov

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Two Dimensional ◽

Initial Boundary Value

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Integral equation solution of the first initial-boundary value problem for the heat equation in domains with non-smooth boundary

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160230505 ◽

1970 ◽

Vol 23 (5) ◽

pp. 757-765 ◽

Author(s):

Guillermo Miranda

Keyword(s):

Integral Equation ◽

Boundary Value Problem ◽

Heat Equation ◽

Smooth Boundary ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Equation Solution ◽

Initial Boundary Value

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The Cayley transform and boundary integral equations to an initial boundary value problem for the heat equation

DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402) ◽

10.1109/diped.1999.822130 ◽

1999 ◽

Author(s):

V. Makarov ◽

R. Chapko

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Boundary Integral ◽

Cayley Transform ◽

Initial Boundary Value

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INITIAL-BOUNDARY VALUE PROBLEM FOR A NONLINEAR HEAT EQUATION

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.26.219 ◽

1972 ◽

Vol 26 (2) ◽

pp. 219-239

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Heat Equation ◽

Initial Boundary Value

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A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22646 ◽

2020 ◽

Author(s):

Xuping Wang ◽

Zhi‐zhong Sun

Keyword(s):

Boundary Value Problem ◽

Difference Scheme ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Second Order ◽

Initial Boundary Value ◽

Convergent Difference Scheme

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