Approximate series solution of singular boundary value problems with derivative dependence using Green’s function technique

Computational and Applied Mathematics ◽

10.1007/s40314-013-0074-y ◽

2013 ◽

Vol 33 (2) ◽

pp. 451-467 ◽

Author(s):

Randhir Singh ◽

Jitendra Kumar ◽

Gnaneshwar Nelakanti

Keyword(s):

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Series Solution ◽

Boundary Value ◽

Function Technique ◽

Singular Boundary ◽

Singular Boundary Value Problems

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The Adomian decomposition method with Green’s function for solving nonlinear singular boundary value problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-013-0699-4 ◽

2013 ◽

Vol 44 (1-2) ◽

pp. 397-416 ◽

Author(s):

Randhir Singh ◽

Jitendra Kumar

Keyword(s):

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Decomposition Method ◽

Boundary Value ◽

Adomian Decomposition Method ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Adomian Decomposition

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Numerical solution of singular boundary value problems using Green’s function and improved decomposition method

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-013-0670-4 ◽

2013 ◽

Vol 43 (1-2) ◽

pp. 409-425 ◽

Author(s):

Randhir Singh ◽

Jitendra Kumar ◽

Gnaneshwar Nelakanti

Keyword(s):

Green’S Function ◽

Numerical Solution ◽

Boundary Value Problems ◽

Green's Function ◽

Decomposition Method ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Numerical solution of singular boundary value problems using Green’s function and Sinc-Collocation method

Journal of King Saud University - Science ◽

10.1016/j.jksus.2020.07.018 ◽

2020 ◽

Vol 32 (7) ◽

pp. 2962-2968

Author(s):

Z. Balali ◽

J. Rashidinia ◽

N. Taheri

Keyword(s):

Green’S Function ◽

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Green's Function ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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A unique limiting Green's function for a class of singular boundary value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(94)00096-4 ◽

1994 ◽

Vol 28 (1-3) ◽

pp. 93-99

Author(s):

P.W. Eloe ◽

E.R. Kaufmann

Keyword(s):

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Approximate series solution of fourth-order boundary value problems using decomposition method with Green’s function

Journal of Mathematical Chemistry ◽

10.1007/s10910-014-0329-x ◽

2014 ◽

Vol 52 (4) ◽

pp. 1099-1118 ◽

Author(s):

Randhir Singh ◽

Jitendra Kumar ◽

Gnaneshwar Nelakanti

Keyword(s):

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Fourth Order ◽

Decomposition Method ◽

Series Solution ◽

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Solving two-point boundary value problems using combined homotopy perturbation method and Green’s function method

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.02.036 ◽

2009 ◽

Vol 212 (2) ◽

pp. 366-376 ◽

Author(s):

Yong-Gang Wang ◽

Hui-Fang Song ◽

Dan Li

Keyword(s):

Perturbation Method ◽

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Function Method ◽

Homotopy Perturbation Method ◽

Boundary Value ◽

Point Boundary ◽

Green’S Function Method ◽

Homotopy Perturbation

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Solvability of some fourth (and higher) order singular boundary value problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90363-5 ◽

1991 ◽

Vol 161 (1) ◽

pp. 78-116 ◽

Author(s):

Donal O'Regan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Positive solutions for 2p-order and 2q-order systems of singular boundary value problems with integral boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2009.11.022 ◽

2010 ◽

Vol 72 (6) ◽

pp. 2767-2786 ◽

Author(s):

Ping Kang ◽

JuanJuan Xu ◽

Zhongli Wei

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Integral Boundary Conditions ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Integral Boundary

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Positive solution for singular boundary value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00175-7 ◽

1996 ◽

Vol 32 (9) ◽

pp. 41-49 ◽

Author(s):

Fu-Hsiang Wong ◽

Wei-Cheng Lian

Keyword(s):

Boundary Value Problems ◽

Positive Solution ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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A class of -order singular boundary value problems

Nonlinear Analysis ◽

10.1016/j.na.2006.01.014 ◽

2007 ◽

Vol 66 (6) ◽

pp. 1225-1245 ◽

Author(s):

Zhongli Wei ◽

Changci Pang

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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