An error analysis for a difference scheme of exponential type applied to a nonlinear singular perturbation problem without turning points

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(86)90241-4 ◽

1986 ◽

Vol 15 (1) ◽

pp. 93-101 ◽

Author(s):

Koichi Niijima

Keyword(s):

Error Analysis ◽

Singular Perturbation ◽

Difference Scheme ◽

Exponential Type ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem

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On a difference scheme of exponential type for a nonlinear singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01389657 ◽

1985 ◽

Vol 46 (4) ◽

pp. 521-539 ◽

Author(s):

Koichi Niijima

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Exponential Type ◽

Singular Perturbation Problem ◽

Perturbation Problem

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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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Numerical solution of a singular perturbation problem with turning points

Lecture Notes in Mathematics - Equadiff 82 ◽

10.1007/bfb0103269 ◽

1983 ◽

pp. 432-439 ◽

Author(s):

J. Lorenz

Keyword(s):

Singular Perturbation ◽

Numerical Solution ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem

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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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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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Analysis of some difference approximations for a singular perturbation problem without turning points

Mathematics of Computation ◽

10.1090/s0025-5718-1978-0483484-9 ◽

1978 ◽

Vol 32 (144) ◽

pp. 1025-1025 ◽

Author(s):

R. Bruce Kellogg ◽

Alice Tsan

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Difference Approximations

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A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition

Applied Mathematics and Mechanics ◽

10.1007/bf00122315 ◽

1996 ◽

Vol 17 (2) ◽

pp. 187-195

Author(s):

Bai Qingyuan ◽

Lin Pengcheng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

Mixed Boundary ◽

Boundary Value ◽

Singular Perturbation Problem ◽

Boundary Value Condition ◽

Perturbation Problem

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Uniform fourth order difference scheme for a singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01405196 ◽

1989 ◽

Vol 56 (7) ◽

pp. 675-693 ◽

Author(s):

Dragoslav Herceg

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Order Difference ◽

Perturbation Problem

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On a singular perturbation problem with two second-order turning points

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.01.040 ◽

2006 ◽

Vol 190 (1-2) ◽

pp. 287-303 ◽

Author(s):

Heping Yang

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Second Order ◽

Singular Perturbation Problem ◽

Perturbation Problem

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L 1 andL ? Uniform convergence of a difference scheme for a semilinear singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01408573 ◽

1987 ◽

Vol 50 (5) ◽

pp. 519-531 ◽

Author(s):

Martin Stynes ◽

Eugene O'Riordan

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Uniform Convergence ◽

Singular Perturbation Problem ◽

Perturbation Problem

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