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 ◽

Author(s):

Pradip Roul ◽

Kiran Thula ◽

Ravi Agarwal

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Sixth Order ◽

Collocation Methods ◽

Spline Collocation ◽

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Application of Techniques of Homotopy Types to Sixth Order Boundary Value Problems and Comparing the Results with Cubic B-Spline Collocation Method

Journal of Advanced Physics ◽

10.1166/jap.2018.1457 ◽

2018 ◽

Vol 7 (4) ◽

pp. 510-517

Author(s):

Muhammad Naeem ◽

Sher Muhammad ◽

Syed Asif Hussain ◽

Mohammad Ishaq ◽

Syed Inayat Ali Shah

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Sixth Order ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

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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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Cubic B-Spline Collocation Method for Sixth Order Boundary Value Problems

International Journal of Scientific and Innovative Mathematical Research ◽

10.20431/2347-3142.0507001 ◽

2017 ◽

Vol 5 (7) ◽

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Sixth Order ◽

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 ◽

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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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 fourth-order orthogonal spline collocation method to fourth-order boundary value problems

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2019.1600070 ◽

2019 ◽

Vol 20 (5) ◽

pp. 460-470

Author(s):

Bhal Santosh Kumar ◽

P. Danumjaya ◽

Anil Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Fourth Order ◽

Boundary Value ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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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 ◽

Author(s):

Samuel Jator ◽

Zachariah Sinkala

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Linear Boundary ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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B-spline collocation for solution of two-point boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.10.031 ◽

2011 ◽

Vol 235 (8) ◽

pp. 2325-2342 ◽

Author(s):

J. Rashidinia ◽

M. Ghasemi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Spline Collocation ◽

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