B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems

Bin Lin

doi:10.4236/jamp.2016.49178

B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2016.49178 ◽

2016 ◽

Vol 04 (09) ◽

pp. 1699-1704

Author(s):

Bin Lin

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.09.008 ◽

2008 ◽

Vol 58 (10) ◽

pp. 1572-1581 ◽

Cited By ~ 26

Author(s):

S. Chandra Sekhara Rao ◽

Mukesh Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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B-Spline Collocation Method for Nonlinear Singularly-Perturbed Two-Point Boundary-Value Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-007-9200-6 ◽

2007 ◽

Vol 134 (1) ◽

pp. 91-105 ◽

Cited By ~ 11

Author(s):

S. C. S. Rao ◽

M. Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1802016 ◽

2020 ◽

pp. 1-20

Author(s):

Mohammad Prawesh Alam ◽

Devendra Kumar ◽

Arshad Khan

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Turning Point ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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Optimal B-spline collocation method for self-adjoint singularly perturbed boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.10.029 ◽

2007 ◽

Vol 188 (1) ◽

pp. 749-761 ◽

Cited By ~ 7

Author(s):

S. Chandra Sekhara Rao ◽

Mukesh Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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B-Spline collocation method for a two-parameter singularly perturbed convection–diffusion boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.12.038 ◽

2008 ◽

Vol 201 (1-2) ◽

pp. 504-513 ◽

Cited By ~ 9

Author(s):

Mohan K. Kadalbajoo ◽

Arjun Singh Yadaw

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Diffusion Boundary ◽

Spline Collocation Method ◽

Convection Diffusion ◽

Two Parameter

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Fitted mesh B-spline collocation method for solving self-adjoint singularly perturbed boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.078 ◽

2005 ◽

Vol 161 (3) ◽

pp. 973-987 ◽

Cited By ~ 21

Author(s):

Mohan K. Kadalbajoo ◽

Vivek K. Aggarwal

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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A high order B-spline collocation method for linear boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.027 ◽

2007 ◽

Vol 191 (1) ◽

pp. 100-116 ◽

Cited By ~ 7

Author(s):

Samuel Jator ◽

Zachariah Sinkala

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

High Order ◽

Linear Boundary ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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A B-spline collocation method for solving non-linear singular boundary value problems

The 2nd International Conference on Information Science and Engineering ◽

10.1109/icise.2010.5688714 ◽

2010 ◽

Author(s):

Xinping Shao ◽

Xiaopeng Liang

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Non Linear

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Quartic B-spline collocation method for fifth order boundary value problems

Computing ◽

10.1007/s00607-011-0149-9 ◽

2011 ◽

Vol 92 (4) ◽

pp. 365-378 ◽

Cited By ~ 12

Author(s):

Feng-Gong Lang ◽

Xiao-Ping Xu

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Fifth Order

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A High-Order B-Spline Collocation Method for Solving Nonlinear Singular Boundary Value Problems Arising in Engineering and Applied Science

Mediterranean Journal of Mathematics ◽

10.1007/s00009-018-1220-y ◽

2018 ◽

Vol 15 (4) ◽

Cited By ~ 13

Author(s):

Kiran Thula ◽

Pradip Roul

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Applied Science ◽

High Order ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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