Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n4.a4 ◽

2011 ◽

Vol 9 (4) ◽

pp. 1013-1032 ◽

Author(s):

Haiyan Tian ◽

Zhimin Zhang ◽

Huiqing Zhu

Keyword(s):

Boundary Value Problems ◽

Convergence Analysis ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

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A numerical treatment for the system of singularly perturbed convection-reaction-diffusion two point boundary value problems with non-smooth data

Journal of Physics Conference Series ◽

10.1088/1742-6596/1139/1/012019 ◽

2018 ◽

Vol 1139 ◽

pp. 012019

Author(s):

T Prabha ◽

V Shanthi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

Numerical Treatment ◽

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A priori meshes for singularly perturbed quasilinear two-point boundary value problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/21.1.349 ◽

2001 ◽

Vol 21 (1) ◽

pp. 349-366 ◽

Author(s):

R. Vulanovic

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

A Priori ◽

Singularly Perturbed ◽

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A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.06.003 ◽

2005 ◽

Vol 163 (3) ◽

pp. 1123-1142 ◽

Author(s):

J.I. Ramos

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Analytical Technique

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A Higher Order Accurate Numerical Method for Singularly Perturbed Two Point Boundary Value Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-016-0279-9 ◽

2016 ◽

Vol 25 (2) ◽

pp. 267-285 ◽

Author(s):

Aditya Kaushik ◽

Vijayant Kumar ◽

Anil K. Vashishth

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Higher Order ◽

Singularly Perturbed ◽

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Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00153-x ◽

2004 ◽

Vol 149 (2) ◽

pp. 441-468 ◽

Author(s):

Y.N. Reddy ◽

P. Pramod Chakravarthy

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Cubic Splines ◽

Singularly Perturbed ◽

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The Finite Volume Element Method Based Improved Grade Mesh for the Singularly Perturbed Two-Point Boundary Value Problems

Pure Mathematics ◽

10.12677/pm.2020.1010112 ◽

2020 ◽

Vol 10 (10) ◽

pp. 962-968

Author(s):

玲李

Keyword(s):

Boundary Value Problems ◽

Finite Volume ◽

Boundary Value ◽

Volume Element ◽

Singularly Perturbed ◽

Point Boundary ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

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Numerical integration method for general singularly perturbed two point boundary value problems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00246-6 ◽

2002 ◽

Vol 133 (2-3) ◽

pp. 351-373 ◽

Author(s):

Y.N. Reddy ◽

K. Anantha Reddy

Keyword(s):

Boundary Value Problems ◽

Numerical Integration ◽

Integration Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Numerical Integration Method

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Estimate of boundary layer thickness for linear, singularly perturbed two-point boundary-value problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00940735 ◽

1989 ◽

Vol 63 (1) ◽

pp. 109-117 ◽

Author(s):

A. Singh ◽

M. K. Kadalbajoo

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Layer Thickness ◽

Boundary Layer Thickness ◽

Boundary Value ◽

Singularly Perturbed ◽

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A numerical method for solving singularly perturbed systems of nonlinear two-point boundary-value problems

International Journal of Computer Mathematics ◽

10.1080/00207168908803773 ◽

1989 ◽

Vol 30 (1-2) ◽

pp. 117-127 ◽

Author(s):

Arindama Singh ◽

Mohan V. Kadalbajoo

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.01.010 ◽

2009 ◽

Vol 57 (7) ◽

pp. 1147-1156 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Devendra Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Value Problems ◽

Finite Difference Scheme ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Initial Value ◽

Exponentially Fitted

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