Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.12.013 ◽

2022 ◽

Author(s):

Can Li ◽

Haihong Wang ◽

Hongyun Yue ◽

Shimin Guo

Keyword(s):

Boundary Conditions ◽

Difference Scheme ◽

Reaction Diffusion ◽

Advection Equation ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20248 ◽

2007 ◽

Vol 24 (1) ◽

pp. 272-295 ◽

Author(s):

Houde Han ◽

Zhi-zhong Sun ◽

Xiao-nan Wu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Difference Scheme ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2005.09.011 ◽

2006 ◽

Vol 214 (1) ◽

pp. 209-223 ◽

Author(s):

Zhi-zhong Sun ◽

Xiaonan Wu

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Schrodinger Equation ◽

Stability And Convergence ◽

Infinite Domain ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

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A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2011.12.028 ◽

2012 ◽

Vol 231 (7) ◽

pp. 2865-2879 ◽

Author(s):

Guang-hua Gao ◽

Zhi-zhong Sun ◽

Ya-nan Zhang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Unbounded Domain ◽

Finite Difference Scheme ◽

Diffusion Equations ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.02.005 ◽

2018 ◽

Vol 128 ◽

pp. 183-204 ◽

Author(s):

Bo Wang ◽

Dong Liang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Unbounded Domain ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

Nonlinear Schrodinger Equations

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The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2006.07.001 ◽

2006 ◽

Vol 219 (2) ◽

pp. 879-898 ◽

Author(s):

Zhi-zhong Sun

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Schrodinger Equation ◽

Stability And Convergence ◽

Infinite Domain ◽

Artificial Boundary ◽

Explicit Difference Scheme ◽

Artificial Boundary Conditions ◽

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Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.01.001 ◽

2004 ◽

Vol 50 (2) ◽

pp. 261-277 ◽

Author(s):

Xiaonan Wu ◽

Zhi-Zhong Sun

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Difference Scheme ◽

Unbounded Domains ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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Non-Deteriorating Numerical Methods and Artificial Boundary Conditions for the Long-Term Integration of Maxwell's Equations

10.21236/ada427296 ◽

2004 ◽

Author(s):

Semyon T. Tsynkov

Keyword(s):

Numerical Methods ◽

Boundary Conditions ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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The artificial boundary conditions for computing the flow around a submerged body

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00189-9 ◽

2000 ◽

Vol 188 (1-3) ◽

pp. 473-482 ◽

Author(s):

Weizhu Bao ◽

Wen Xin

Keyword(s):

Boundary Conditions ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

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Efficiency of using adaptive artificial boundary conditions at computer simulation of contrast spatio‐temporal laser‐induced structures in a semiconductor

Computational and Mathematical Methods ◽

10.1002/cmm4.1165 ◽

2021 ◽

Author(s):

Vyacheslav Trofimov ◽

Maria Loginova ◽

Vladimir Egorenkov

Keyword(s):

Computer Simulation ◽

Boundary Conditions ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

Spatio Temporal

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Implicit finite-difference schemes, based on the Rosenbrock method, for nonlinear Schrödinger equation with artificial boundary conditions

PLoS ONE ◽

10.1371/journal.pone.0206235 ◽

2018 ◽

Vol 13 (10) ◽

pp. e0206235 ◽

Author(s):

Vyacheslav A. Trofimov ◽

Evgeny M. Trykin

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

Rosenbrock Method ◽

Implicit Finite Difference

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