Quintic B-spline method for numerical solution of fourth order singular perturbation boundary value problems

Ram Kishun Lodhi; Hradyesh Kumar Mishra

doi:10.24193/subbmath.2018.1.09

Quintic B-spline method for numerical solution of fourth order singular perturbation boundary value problems

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2018.1.09 ◽

2018 ◽

Vol 63 (1) ◽

pp. 141-151

Author(s):

Ram Kishun Lodhi ◽

Hradyesh Kumar Mishra

Keyword(s):

Singular Perturbation ◽

Numerical Solution ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Spline Method ◽

B Spline

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Two-Parameter Singular Perturbation Boundary Value Problems Via Quintic B-Spline Method

Proceedings of the National Academy of Sciences India Section A Physical Sciences ◽

10.1007/s40010-021-00759-4 ◽

2022 ◽

Author(s):

Hradyesh Kumar Mishra ◽

Ram Kishun Lodhi

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Boundary Value ◽

Spline Method ◽

B Spline ◽

Two Parameter

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Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method

Journal of the Nigerian Mathematical Society ◽

10.1016/j.jnnms.2016.03.002 ◽

2016 ◽

Vol 35 (1) ◽

pp. 257-265 ◽

Cited By ~ 6

Author(s):

Ram Kishun Lodhi ◽

Hradyesh Kumar Mishra

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Method ◽

B Spline

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Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.01.074 ◽

2007 ◽

Vol 190 (1) ◽

pp. 652-661 ◽

Cited By ~ 7

Author(s):

Shahid S. Siddiqi ◽

Ghazala Akram

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Polynomial Spline ◽

Spline Method

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Numerical Solution of the Seventh Order Boundary Value Problems Using B-Spline Method

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2021.912198 ◽

2021 ◽

Vol 09 (12) ◽

pp. 3058-3066

Author(s):

Maryam Khazaei ◽

Yeganeh Karamipour

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Spline Method ◽

B Spline ◽

Seventh Order

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Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160412331291080 ◽

2005 ◽

Vol 82 (1) ◽

pp. 67-76 ◽

Cited By ~ 8

Author(s):

Mohan K. Kadalbajoo ◽

Vivek K. Aggarwal

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Method ◽

B Spline

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A Fourth Order Spline Method for Singular Two-Point Boundary Value Problems

Numerical Mathematics Singapore 1988 - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ◽

10.1007/978-3-0348-6303-2_7 ◽

1988 ◽

pp. 87-93 ◽

Cited By ~ 2

Author(s):

M. M. Chawla ◽

R. Subramanian

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Point Boundary ◽

Spline Method ◽

Order Spline

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The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions

International Journal of Computer Mathematics ◽

10.1080/00207169908804816 ◽

1999 ◽

Vol 71 (3) ◽

pp. 373-381 ◽

Cited By ~ 45

Author(s):

H. N. Caglar ◽

S. H. Caglar ◽

E. H. Twizell

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Spline Functions ◽

Third Order ◽

Fourth Degree ◽

B Spline

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Quartic spline method for solving fourth order obstacle boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00497-6 ◽

2002 ◽

Vol 143 (1) ◽

pp. 107-116 ◽

Cited By ~ 31

Author(s):

Eisa A. Al-Said ◽

Muhammad Aslam Noor

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Spline Method

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Non-optimal fourth-order and optimal sixth-order B-spline collocation methods for Lane-Emden boundary value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.05.004 ◽

2019 ◽

Vol 145 ◽

pp. 342-360 ◽

Cited By ~ 5

Author(s):

Pradip Roul ◽

Kiran Thula ◽

Ravi Agarwal

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Sixth Order ◽

Collocation Methods ◽

Spline Collocation ◽

B Spline

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Extended cubic B-spline method for solving a linear system of second-order boundary value problems

SpringerPlus ◽

10.1186/s40064-016-2936-4 ◽

2016 ◽

Vol 5 (1) ◽

Cited By ~ 2

Author(s):

Ahmed Salem Heilat ◽

Nur Nadiah Abd Hamid ◽

Ahmad Izani Md. Ismail

Keyword(s):

Linear System ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Spline Method ◽

B Spline

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