Analysis of a difference scheme for a singular perturbation Cauchy problem on refined grids

Numerical Analysis and Applications ◽

10.1134/s1995423911010046 ◽

2011 ◽

Vol 4 (1) ◽

pp. 36-45 ◽

Author(s):

A. I. Zadorin ◽

S. V. Tikhovskaya

Keyword(s):

Cauchy Problem ◽

Singular Perturbation ◽

Difference Scheme

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A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf00131089 ◽

1996 ◽

Vol 17 (5) ◽

pp. 413-421 ◽

Author(s):

Liu Guoqing ◽

Su Yucheng

Keyword(s):

Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

Singular Perturbation Problem ◽

Elliptic Differential Equation ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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Optimal Error Bound and A Semi-discrete Difference Scheme for the Cauchy Problem of the Modified Helmholtz Equation

Proceedings of the 2017 International Conference on Manufacturing Engineering and Intelligent Materials (ICMEIM 2017) ◽

10.2991/icmeim-17.2017.32 ◽

2017 ◽

Author(s):

Ai-lin Qian ◽

Zi-min Chen

Keyword(s):

Cauchy Problem ◽

Difference Scheme ◽

Helmholtz Equation ◽

Error Bound ◽

Optimal Error ◽

Modified Helmholtz Equation ◽

The Cauchy Problem ◽

Optimal Error Bound

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Uniform difference scheme for hyperbolic-hyperbolic singular perturbation mixed problems

Applied Mathematics and Mechanics ◽

10.1007/bf01898226 ◽

1986 ◽

Vol 7 (4) ◽

pp. 365-376 ◽

Author(s):

Yin Guang-yan

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

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A singular perturbation approach to solve Burgers–Huxley equation via monotone finite difference scheme on layer-adaptive mesh

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2010.07.020 ◽

2011 ◽

Vol 16 (4) ◽

pp. 1825-1844 ◽

Author(s):

Vikas Gupta ◽

Mohan K. Kadalbajoo

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Adaptive Mesh ◽

Perturbation Approach ◽

Huxley Equation

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Singular perturbation for an abstract non-densely defined Cauchy problem

Journal of Evolution Equations ◽

10.1007/s00028-016-0374-y ◽

2016 ◽

Vol 17 (3) ◽

pp. 1089-1128 ◽

Author(s):

Arnaud Ducrot ◽

Pierre Magal ◽

Ousmane Seydi

Keyword(s):

Cauchy Problem ◽

Singular Perturbation ◽

Densely Defined

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Singular perturbation and boundary layer for an abstract Cauchy problem

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90211-1 ◽

1983 ◽

Vol 97 (2) ◽

pp. 529-571 ◽

Author(s):

H.O Fattorini

Keyword(s):

Boundary Layer ◽

Cauchy Problem ◽

Singular Perturbation ◽

Abstract Cauchy Problem

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A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.03.012 ◽

2010 ◽

Vol 52 (1-2) ◽

pp. 409-424 ◽

Author(s):

Allaberen Ashyralyev ◽

Mehmet Emir Koksal ◽

Ravi P. Agarwal

Keyword(s):

Cauchy Problem ◽

Difference Scheme ◽

Hyperbolic Equation ◽

Adjoint Operator

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Exponential splines difference scheme for singular perturbation problem with mixed boundary conditions

Communications in Applied Numerical Methods ◽

10.1002/cnm.1630070809 ◽

1991 ◽

Vol 7 (8) ◽

pp. 625-632 ◽

Author(s):

M. Stojanović

Keyword(s):

Singular Perturbation ◽

Boundary Conditions ◽

Difference Scheme ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Singular Perturbation Problem ◽

Perturbation Problem

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Convergence of a semi-discrete finite difference scheme applied to the abstract Cauchy problem on a scale of Banach spaces

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.87.109 ◽

2011 ◽

Vol 87 (7) ◽

pp. 109-113 ◽

Author(s):

Yuusuke Iso

Keyword(s):

Cauchy Problem ◽

Finite Difference ◽

Difference Scheme ◽

Banach Spaces ◽

Finite Difference Scheme ◽

Abstract Cauchy Problem ◽

Scale Of Banach Spaces

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A high accuracy difference scheme for the singular perturbation problem of the second-order linear ordinary differential equation in conservation form

Applied Mathematics and Mechanics ◽

10.1007/bf02019236 ◽

1989 ◽

Vol 10 (5) ◽

pp. 465-470 ◽

Author(s):

Wang Guo-ying

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

High Accuracy ◽

Linear Ordinary Differential Equation ◽

Singular Perturbation Problem ◽

Order Linear ◽

Perturbation Problem ◽

Accuracy Difference

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