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

Jean M.-S. Lubuma; Kailash C. Patidar

doi:10.1016/j.cam.2005.06.039

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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ε-Uniformly convergent fitted mesh finite difference methods for general singular perturbation problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.11.096 ◽

2006 ◽

Vol 179 (1) ◽

pp. 248-266 ◽

Cited By ~ 14

Author(s):

Mohan K. Kadalbajoo ◽

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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CONTRIBUTIONS TO THE THEORY OF NON-STANDARD FINITE DIFFERENCE METHODS AND APPLICATIONS TO SINGULAR PERTURBATION PROBLEMS

Advances in the Applications of Nonstandard Finite Difference Schemes ◽

10.1142/9789812703316_0012 ◽

2005 ◽

pp. 513-560 ◽

Cited By ~ 9

Author(s):

Jean M.-S. Lubuma ◽

Kailash C. Patidar

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Finite Difference Methods ◽

Singular Perturbation Problems ◽

Difference Methods ◽

Perturbation Problems

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Non-standard Finite Difference Methods for Dissipative Singular Perturbation Problems

Difference Equations and Discrete Dynamical Systems ◽

10.1142/9789812701572_0013 ◽

2005 ◽

Cited By ~ 3

Author(s):

Jean M. -S. Lubuma ◽

Kailash C. Patidar

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Finite Difference Methods ◽

Singular Perturbation Problems ◽

Difference Methods ◽

Perturbation Problems

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Non-standard Finite Difference Method for Self-adjoint Singular Perturbation Problems

International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004) ◽

10.1201/9780429081385-80 ◽

2019 ◽

pp. 328-331 ◽

Cited By ~ 1

Author(s):

Jean M.-S. Lubuma ◽

Kailash C. Patidar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problems ◽

Perturbation Problems

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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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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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Difference Methods for Singular Perturbation Problems

10.1201/9780203492413 ◽

2008 ◽

Cited By ~ 18

Author(s):

Grigory I. Shishkin ◽

Lidia P. Shishkina

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Difference Methods ◽

Perturbation Problems

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ε-Uniformly convergent non-standard finite difference methods for singularly perturbed differential difference equations with small delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.08.006 ◽

2006 ◽

Vol 175 (1) ◽

pp. 864-890 ◽

Cited By ~ 20

Author(s):

Kailash C. Patidar ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Difference Equations ◽

Finite Difference Methods ◽

Singularly Perturbed ◽

Small Delay ◽

Uniformly Convergent ◽

Difference Methods

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Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid

Advances in Computational Mathematics ◽

10.1007/s10444-004-7641-0 ◽

2006 ◽

Vol 24 (1-4) ◽

pp. 197-212 ◽

Cited By ~ 27

Author(s):

Yanping Chen

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Uniform Convergence ◽

Convergence Analysis ◽

Singular Perturbation Problems ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Perturbation Problems

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Uniformly convergent finite difference methods for singularly perturbed problems with turning points

Numerical Algorithms ◽

10.1007/bf02145752 ◽

1993 ◽

Vol 4 (3) ◽

pp. 339-359 ◽

Cited By ~ 7

Author(s):

Carmelo Clavero ◽

Francisco Lisbona

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Turning Points ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniformly Convergent ◽

Difference Methods

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