Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh

Advances in Difference Equations ◽

10.1186/s13662-017-1380-2 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Ranjan Kumar Mohanty ◽

Sucheta Nayak ◽

Arshad Khan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Cubic Spline ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Variable Mesh ◽

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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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Cubic spline for a class of non-linear singular boundary value problems arising in physiology

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.05.022 ◽

2006 ◽

Vol 174 (1) ◽

pp. 768-774 ◽

Author(s):

A.S.V. Ravi Kanth ◽

Vishnu Bhattacharya

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Cubic Spline ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

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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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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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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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A linearisation method for non-linear singular boundary value problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.12.035 ◽

2012 ◽

Vol 63 (7) ◽

pp. 1197-1203 ◽

Author(s):

S.S. Motsa ◽

P. Sibanda

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

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Fractal Cubic Spline Methods for Singular Boundary-Value Problems

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-0797-6 ◽

2020 ◽

Vol 6 (2) ◽

Author(s):

N. Balasubramani ◽

M. Guru Prem Prasad ◽

S. Natesan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Cubic Spline ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Differential Transform – Pade Technique for Treating Non-linear Singular Boundary Value Problems Arising in the Applied Sciences

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2011-0005 ◽

2013 ◽

Vol 14 (5) ◽

Author(s):

A. S. V. Ravi Kanth ◽

K. Aruna

Keyword(s):

Applied Sciences ◽

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Differential Transform ◽

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The numerical solution of non-linear singular boundary value problems arising in physiology

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.06.104 ◽

2007 ◽

Vol 185 (1) ◽

pp. 360-367 ◽

Author(s):

J. Rashidinia ◽

R. Mohammadi ◽

R. Jalilian

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

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Homotopy perturbation method based on Green function for solving non-linear singular boundary value problems

2011 International Conference on Machine Learning and Cybernetics ◽

10.1109/icmlc.2011.6016817 ◽

2011 ◽

Author(s):

Xufeng Shang ◽

Yubo Yuan

Keyword(s):

Green Function ◽

Perturbation Method ◽

Boundary Value Problems ◽

Homotopy Perturbation Method ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Homotopy Perturbation ◽

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