Mixed method via Padé approximation and optimal cubic B-spline collocation for solving non-linear singular boundary value problems

SeMA Journal ◽

10.1007/s40324-018-00183-6 ◽

2019 ◽

Vol 76 (2) ◽

pp. 383-401

Author(s):

A. Tazdayte ◽

H. Allouche

Keyword(s):

Boundary Value Problems ◽

Mixed Method ◽

Boundary Value ◽

Padé Approximation ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

Pade Approximation ◽

B Spline ◽

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Highly Accurate Method for Solving Singular Boundary-Value Problems Via Padé Approximation and Two-Step Quartic B-Spline Collocation

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1342-x ◽

2019 ◽

Vol 16 (3) ◽

Author(s):

H. Allouche ◽

A. Tazdayte ◽

K. Tigma

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Padé Approximation ◽

Accurate Method ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

Pade Approximation ◽

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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 ◽

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B-spline solution of non-linear singular boundary value problems arising in physiology

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2007.06.007 ◽

2009 ◽

Vol 39 (3) ◽

pp. 1232-1237 ◽

Author(s):

Hikmet Çağlar ◽

Nazan Çağlar ◽

Mehmet Özer

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

B Spline ◽

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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) ◽

Author(s):

Kiran Thula ◽

Pradip Roul

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Applied Science ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-021-01293-9 ◽

2021 ◽

Author(s):

Pradip Roul ◽

Trishna Kumari

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

General Class ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.003 ◽

2017 ◽

Vol 311 ◽

pp. 324-341 ◽

Author(s):

Hassane Allouche ◽

Abderrahim Tazdayte

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Padé Approximation ◽

Collocation Methods ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Pade Approximation ◽

Logarithmic Singularities

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Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.05.022 ◽

2019 ◽

Vol 361 ◽

pp. 198-201

Author(s):

V.M.K. Prasad Goura ◽

Pradip Roul

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Collocation Methods ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

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B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.011 ◽

2019 ◽

Vol 341 ◽

pp. 428-450 ◽

Author(s):

Pradip Roul ◽

V.M.K. Prasad Goura

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Collocation Methods ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Spline Collocation ◽

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A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160500113504 ◽

2005 ◽

Vol 82 (10) ◽

pp. 1261-1273 ◽

Author(s):

R. K. Mohanty ◽

N. Khosla

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Third Order ◽

Variable Mesh ◽

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Numerical treatment of fourth-order singular boundary value problems using new quintic B-spline approximation technique

International Journal of ADVANCED AND APPLIED SCIENCES ◽

10.21833/ijaas.2020.06.007 ◽

2020 ◽

Vol 7 (6) ◽

pp. 48-56 ◽

Author(s):

Iqbal et al. ◽

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Spline Approximation ◽

Approximation Technique ◽

Singular Boundary ◽

Numerical Treatment ◽

Singular Boundary Value Problems ◽

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