Uniformly Convergent Second Order Numerical Method for a Class of Parameterized Singular Perturbation Problems

D. Shakti; J. Mohapatra

doi:10.1007/s12591-017-0361-y

Uniformly Convergent Second Order Numerical Method for a Class of Parameterized Singular Perturbation Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0361-y ◽

2017 ◽

Vol 28 (4) ◽

pp. 1033-1043

Author(s):

D. Shakti ◽

J. Mohapatra

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Second Order ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Perturbation Problems

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Asymptotic Analysis and a Uniformly Convergent Numerical Method for Singular Perturbation Problems

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.291220.120421 ◽

2021 ◽

Vol 11 (4) ◽

pp. 755-787

Author(s):

global sci

Keyword(s):

Singular Perturbation ◽

Asymptotic Analysis ◽

Numerical Method ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Perturbation Problems

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A numerical method for quasilinear singular perturbation problems with turning points

Computing ◽

10.1007/bf02239169 ◽

1991 ◽

Vol 46 (2) ◽

pp. 155-164 ◽

Cited By ~ 11

Author(s):

P. Lin

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Turning Points ◽

Singular Perturbation Problems ◽

Perturbation Problems

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A uniform numerical method for quasilinear singular perturbation problems without turning points

Computing ◽

10.1007/bf02238732 ◽

1989 ◽

Vol 41 (1-2) ◽

pp. 97-106 ◽

Cited By ~ 31

Author(s):

R. Vulanović

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Turning Points ◽

Singular Perturbation Problems ◽

Perturbation Problems

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Higher order uniformly convergent methods for singular perturbation problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(94)80033-2 ◽

1994 ◽

Vol 116 (1-4) ◽

pp. 273-280 ◽

Cited By ~ 3

Author(s):

Hans-Görg Roos

Keyword(s):

Singular Perturbation ◽

Higher Order ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Perturbation Problems

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Boundary value problems for second order ordinary differential equations and applications to singular perturbation problems on $[a,b]\subset(-\infty,\infty)$

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1976-6-4-761 ◽

1976 ◽

Vol 6 (4) ◽

pp. 761-766 ◽

Cited By ~ 1

Author(s):

Tai-Chi Lee

Keyword(s):

Differential Equations ◽

Singular Perturbation ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singular Perturbation Problems ◽

Perturbation Problems

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Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous Source Term

Journal of Optimization Theory and Applications ◽

10.1007/s10957-007-9167-3 ◽

2007 ◽

Vol 133 (3) ◽

pp. 371-383 ◽

Cited By ~ 3

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Singular Perturbation ◽

Source Term ◽

Reaction Diffusion ◽

Second Order ◽

Singular Perturbation Problems ◽

Initial Value ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Perturbation Problems

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An asymptotic numerical method for fourth order singular perturbation problems with a discontinuous source term

International Journal of Computer Mathematics ◽

10.1080/00207160701478862 ◽

2008 ◽

Vol 85 (7) ◽

pp. 1147-1159 ◽

Cited By ~ 3

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Fourth Order ◽

Source Term ◽

Singular Perturbation Problems ◽

Asymptotic Numerical Method ◽

Discontinuous Source Term ◽

Perturbation Problems

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High order fitted operator numerical method for self-adjoint singular perturbation problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.069 ◽

2005 ◽

Vol 171 (1) ◽

pp. 547-566 ◽

Cited By ~ 17

Author(s):

Kailash C. Patidar

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

High Order ◽

Singular Perturbation Problems ◽

Perturbation Problems ◽

Fitted Operator

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Uniformly convergent non-standard finite difference methods for self-adjoint singular perturbation problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.06.039 ◽

2006 ◽

Vol 191 (2) ◽

pp. 228-238 ◽

Cited By ~ 26

Author(s):

Jean M.-S. Lubuma ◽

Kailash C. Patidar

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Finite Difference Methods ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Difference Methods ◽

Perturbation Problems

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A seventh order numerical method for singular perturbation problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.08.022 ◽

2007 ◽

Vol 186 (1) ◽

pp. 860-871 ◽

Cited By ~ 6

Author(s):

P. Pramod Chakravarthy ◽

K. Phaneendra ◽

Y.N. Reddy

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Singular Perturbation Problems ◽

Seventh Order ◽

Perturbation Problems

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