Chapter 3: Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems

Advances in the Homotopy Analysis Method ◽

10.1142/9789814551250_0003 ◽

2013 ◽

pp. 85-122

Author(s):

Sandile Motsa ◽

Precious Sibanda

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Homotopy Analysis ◽

Spectral Homotopy Analysis Method

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An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1416 ◽

2011 ◽

Vol 34 (8) ◽

pp. 977-989 ◽

Author(s):

Hany N. Hassan ◽

Magdy A. El-Tawil

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Analytic Approach ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Homotopy Analysis

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Prediction of multiplicity of solutions of nonlinear boundary value problems: Novel application of homotopy analysis method

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2010.01.030 ◽

2010 ◽

Vol 15 (12) ◽

pp. 3830-3846 ◽

Author(s):

S. Abbasbandy ◽

E. Shivanian

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Multiplicity Of Solutions ◽

Nonlinear Boundary Value ◽

Homotopy Analysis

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The homotopy analysis method for multiple solutions of nonlinear boundary value problems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.02.008 ◽

2009 ◽

Vol 14 (9-10) ◽

pp. 3530-3536 ◽

Author(s):

S. Abbasbandy ◽

E. Magyari ◽

E. Shivanian

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Multiple Solutions ◽

Nonlinear Boundary ◽

Boundary Value ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Homotopy Analysis

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Solving nonlinear boundary value problems using the homotopy analysis method

10.1063/1.4756537 ◽

2012 ◽

Author(s):

Mohamed A. Hajji ◽

Fathi M. Allan

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Homotopy Analysis

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Boundary-domain integral method and homotopy analysis method for systems of nonlinear boundary value problems in environmental engineering

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2020.1728021 ◽

2020 ◽

Vol 27 (1) ◽

pp. 121-133

Author(s):

M. A. AL-Jawary ◽

G. H. Rahdi ◽

J. Ravnik

Keyword(s):

Boundary Value Problems ◽

Homotopy Analysis Method ◽

Integral Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Environmental Engineering ◽

Analysis Method ◽

Nonlinear Boundary Value Problems ◽

Domain Integral ◽

Homotopy Analysis

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Nonlinear boundary value problems in quantum field theory

Annals of Physics ◽

10.1016/0003-4916(89)90317-5 ◽

1989 ◽

Vol 191 (2) ◽

pp. 258-285 ◽

Author(s):

Robert Schrader

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Quantum Field ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Existence and uniqueness for nonlinear boundary value problems on infinite intervals

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90388-v ◽

1990 ◽

Vol 147 (1) ◽

pp. 122-133 ◽

Author(s):

John V. Baxley

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Infinite Intervals

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Multiple solutions of two-point nonlinear boundary value problems

Nonlinear Analysis ◽

10.1016/j.na.2008.10.053 ◽

2009 ◽

Vol 71 (12) ◽

pp. e176-e185 ◽

Author(s):

Felix Sadyrbaev ◽

Inara Yermachenko

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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A fourth-order accurate method for fourth-order two-point nonlinear boundary value problems

Applied Mathematics Letters ◽

10.1016/0893-9659(88)90159-0 ◽

1988 ◽

Vol 1 (4) ◽

pp. 399-402

Author(s):

S.I.A. Tirmizi

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Nonlinear Boundary ◽

Boundary Value ◽

Accurate Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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A posteriori finite element error estimators for parametrized nonlinear boundary value problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630569608816714 ◽

1996 ◽

Vol 17 (5-6) ◽

pp. 605-637 ◽

Author(s):

Jinn—Liang Liu ◽

Werner C. Rheinboldt

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

A Posteriori ◽

Nonlinear Boundary Value Problems ◽

Error Estimators ◽

Nonlinear Boundary Value ◽

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