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

Aditya Kaushik; Vijayant Kumar; Anil K. Vashishth

doi:10.1007/s12591-016-0279-9

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 ◽

Cited By ~ 1

Author(s):

Aditya Kaushik ◽

Vijayant Kumar ◽

Anil K. Vashishth

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Higher Order ◽

Singularly Perturbed ◽

Point Boundary

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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 ◽

Cited By ~ 1

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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A numerical method for singularly perturbed systems of linear two-point boundary-value problems using partial decoupling

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90041-u ◽

1992 ◽

Vol 40 (1) ◽

pp. 55-62 ◽

Cited By ~ 1

Author(s):

Arindama Singh

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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An Efficient Numerical Method for Singularly Perturbed Two Point Boundary Value Problems Exhibiting Boundary Layers

National Academy Science Letters ◽

10.1007/s40009-015-0350-z ◽

2015 ◽

Vol 38 (4) ◽

pp. 355-359 ◽

Cited By ~ 6

Author(s):

N. Raji Reddy ◽

Jugal Mohapatra

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Layers ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary

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About a numerical method of successive interpolations for two-point boundary value problems with deviating argument

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.02.085 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7772-7789 ◽

Cited By ~ 2

Author(s):

A.M. Bica ◽

M. Curila ◽

S. Curila

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Point Boundary ◽

Deviating Argument

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Multiple fixed-sign solutions for a system of higher order three-point boundary-value problems with deviating arguments

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.04.023 ◽

2008 ◽

Vol 55 (3) ◽

pp. 516-534 ◽

Cited By ~ 4

Author(s):

Patricia J.Y. Wong

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Deviating Arguments ◽

Fixed Sign

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Solutions of Sturm-Liouville type multi-point boundary value problems for higher-order differential equations

Journal of Applied Mathematics and Computing ◽

10.1007/bf02831966 ◽

2007 ◽

Vol 23 (1-2) ◽

pp. 167-182 ◽

Cited By ~ 5

Author(s):

Yuji Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Liouville Type ◽

Sturm Liouville ◽

Higher Order Differential Equations

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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 ◽

Cited By ~ 10

Author(s):

Haiyan Tian ◽

Zhimin Zhang ◽

Huiqing Zhu

Keyword(s):

Boundary Value Problems ◽

Convergence Analysis ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Ldg Method

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A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Cited By ~ 33

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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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 ◽

Smooth Data

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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 ◽

Cited By ~ 43

Author(s):

R. Vulanovic

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

A Priori ◽

Singularly Perturbed ◽

Point Boundary

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