Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/156939803770736033 ◽

2003 ◽

Vol 18 (5) ◽

Author(s):

G. I. Shishkin

Keyword(s):

Heat Equation ◽

Unbounded Domain ◽

Singularly Perturbed ◽

One Dimensional ◽

Grid Approximation

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Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.2003.18.5.429 ◽

2003 ◽

Vol 18 (5) ◽

pp. 429-454

Author(s):

G. I. Shishkin

Keyword(s):

Heat Equation ◽

Unbounded Domain ◽

Singularly Perturbed ◽

One Dimensional ◽

Grid Approximation

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Grid approximation of a singularly perturbed elliptic convection–diffusion equation in an unbounded domain

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/156939806775696913 ◽

2006 ◽

Vol 21 (1) ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Unbounded Domain ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Grid Approximation

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Grid Approximation for the Solution of the Singularly Perturbed Heat Equation with Concentrated Capacity

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6497 ◽

1999 ◽

Vol 237 (2) ◽

pp. 672-697 ◽

Author(s):

Ilia A Braianov ◽

Lubin G Vulkov

Keyword(s):

Heat Equation ◽

Singularly Perturbed ◽

Grid Approximation

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Chaotic characterization of one dimensional stochastic fractional heat equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110780 ◽

2021 ◽

Vol 145 ◽

pp. 110780

Author(s):

Caihong Gu ◽

Yanbin Tang

Keyword(s):

Heat Equation ◽

One Dimensional ◽

Fractional Heat Equation

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A finite-difference method for the one-dimensional time-dependent schrödinger equation on unbounded domain

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2005.05.006 ◽

2005 ◽

Vol 50 (8-9) ◽

pp. 1345-1362 ◽

Author(s):

Houde Han ◽

Jicheng Jin ◽

Xiaonan Wu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Unbounded Domain ◽

Difference Method ◽

Schrodinger Equation ◽

Time Dependent ◽

One Dimensional ◽

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Grid approximation of singularly perturbed boundary value problem for quasi-linear parabolic equations in the case of complete degeneracy in spatial variables

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1991.6.3.243 ◽

1991 ◽

Vol 6 (3) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Spatial Variables ◽

Grid Approximation ◽

Linear Parabolic Equations

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THE ONE-DIMENSIONAL HEAT EQUATION: (Encyclopedia of Mathematics and Its Applications, 23)

Bulletin of the London Mathematical Society ◽

10.1112/blms/17.6.622 ◽

1985 ◽

Vol 17 (6) ◽

pp. 622-623

Author(s):

A. Jeffrey

Keyword(s):

Heat Equation ◽

One Dimensional ◽

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Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509070094 ◽

2009 ◽

Vol 49 (7) ◽

pp. 1167-1174 ◽

Author(s):

M. Kh. Shkhanukov-Lafishev

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Robin Boundary Conditions ◽

One Dimensional ◽

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Solution for one-dimensional fuzzy heat equation under generalized Hukuhara differentiability

10.1063/5.0066523 ◽

2021 ◽

Author(s):

S. Nagalakshmi ◽

G. Suresh Kumar

Keyword(s):

Heat Equation ◽

One Dimensional ◽

Generalized Hukuhara Differentiability

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Performance output tracking for a one-dimensional heat equation with input delay

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125986 ◽

2022 ◽

pp. 125986

Author(s):

Li Wang

Keyword(s):

Heat Equation ◽

Input Delay ◽

One Dimensional ◽

Output Tracking

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