A uniform asymptotic expansion of the solution of a linear elliptic singular perturbation problem

J. F. Frankena

doi:10.1007/bf00282680

A uniform asymptotic expansion of the solution of a linear elliptic singular perturbation problem

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00282680 ◽

1968 ◽

Vol 31 (3) ◽

pp. 185-198 ◽

Cited By ~ 7

Author(s):

J. F. Frankena

Keyword(s):

Asymptotic Expansion ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Uniform Asymptotic Expansion

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Numerical Approximation of a Two-Dimensional Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method

Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters ◽

10.1007/978-94-011-1810-1_20 ◽

1993 ◽

pp. 311-319

Author(s):

Jacques Baranger ◽

Mohammed Alami El Ferricha ◽

Harsan Amri

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Asymptotic Expansion ◽

Singular Perturbation ◽

Numerical Approximation ◽

Singular Perturbation Problem ◽

Two Dimensional ◽

Perturbation Problem ◽

Element Method

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Solving singular perturbation problem of second order ordinary differential equation using the method of matched asymptotic expansion (MMAE)

10.1063/1.4932423 ◽

2015 ◽

Author(s):

Firdawati binti Mohamed ◽

Mohamad Faisal bin Abd Karim

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Asymptotic Expansion ◽

Singular Perturbation ◽

Second Order ◽

Singular Perturbation Problem ◽

Matched Asymptotic Expansion ◽

Order Ordinary Differential Equation ◽

Perturbation Problem

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On the switchback term in the asymptotic expansion of a model singular perturbation problem

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(80)90251-6 ◽

1980 ◽

Vol 77 (2) ◽

pp. 612-625 ◽

Cited By ~ 3

Author(s):

A.D MacGillivray

Keyword(s):

Asymptotic Expansion ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A comparative study on a singular perturbation problem with two singular boundary points

Applied Mathematics and Computation ◽

10.1016/s0096-3003(98)00006-x ◽

1999 ◽

Vol 99 (2-3) ◽

pp. 179-193 ◽

Cited By ~ 4

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Singular Perturbation ◽

Comparative Study ◽

Singular Perturbation Problem ◽

Singular Boundary ◽

Boundary Points ◽

Perturbation Problem

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Layer-adapted Meshes for Parameterized Singular Perturbation Problem

Procedia Engineering ◽

10.1016/j.proeng.2015.11.342 ◽

2015 ◽

Vol 127 ◽

pp. 539-544 ◽

Cited By ~ 2

Author(s):

D. Shakti ◽

J. Mohapatra

Keyword(s):

Singular Perturbation ◽

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 ◽

Cited By ~ 1

Author(s):

Liu Guoqing ◽

Su Yucheng

Keyword(s):

Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

High Order ◽

Singular Perturbation Problem ◽

Elliptic Differential Equation ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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How many jumps? Variational characterization of the limit solution of a singular perturbation problem

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089980 ◽

1980 ◽

pp. 159-180 ◽

Cited By ~ 2

Author(s):

O. Diekmann ◽

D. Hilhorst

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Variational Characterization ◽

Perturbation Problem ◽

Limit Solution

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Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem

Differential and Integral Operators ◽

10.1007/978-3-0348-8789-2_1 ◽

1998 ◽

pp. 1-10

Author(s):

S. Albeverio ◽

K. A. Makarov

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Convolution Operators ◽

Quantum Problem ◽

Perturbation Problem ◽

Limit Behaviour ◽

Three Body

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A singular perturbation problem of laminar flow in a uniformly porous channel with large injection and with an applied transverse magnetic field

Applied Scientific Research ◽

10.1007/bf00382351 ◽

1968 ◽

Vol 18 (1) ◽

pp. 260-272

Author(s):

G. M. Shrestha

Keyword(s):

Magnetic Field ◽

Laminar Flow ◽

Singular Perturbation ◽

Transverse Magnetic Field ◽

Transverse Magnetic ◽

Singular Perturbation Problem ◽

Porous Channel ◽

Perturbation Problem ◽

Large Injection

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A singular perturbation problem arising in Oseen’s spiral flows

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03168582 ◽

2001 ◽

Vol 18 (2) ◽

pp. 393-403 ◽

Cited By ~ 4

Author(s):

H. Ikeda ◽

M. Mimura ◽

H. Okamoto

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem

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