1 Introduction
References
2 Principles of Homotopy Analysis
2.1 Principles of homotopy and the homotopy analysis method
2.2 Construction of the deformation equations
2.3 Construction of the series solution
2.4 Conditions for the convergence of the series solutions
2.5 Existence and uniqueness of solutions obtained byhomotopyanalysis
2.6 Relations between the homotopy analysis method andotheranalytical methods
2.7 Homotopy analysis method for the Swift-Hohenbergequation
2.7.1 Application of the homotopy analysis.method
2.7.2 Convergence of the series solution and discussion ofresults
2.8 Incompressible viscous conducting fluid approaching apermeable stretching surface
2.8.1 Exact solutions for some special cases
2.8.2 The case of G 0
1 Introduction
References
2 Principles of Homotopy Analysis
2.1 Principles of homotopy and the homotopy analysis method
2.2 Construction of the deformation equations
2.3 Construction of the series solution
2.4 Conditions for the convergence of the series solutions
2.5 Existence and uniqueness of solutions obtained byhomotopyanalysis
2.6 Relations between the homotopy analysis method andotheranalytical methods
2.7 Homotopy analysis method for the Swift-Hohenbergequation
2.7.1 Application of the homotopy analysis.method
2.7.2 Convergence of the series solution and discussion ofresults
2.8 Incompressible viscous conducting fluid approaching apermeable stretching surface
2.8.1 Exact solutions for some special cases
2.8.2 The case of G 0
2.8.3 The case of G = 0
2.8.4 Numerical solutions and discussion of the results
2.9 Hydromagnetic stagnation point flow of a second grade fluidover
a stretching sheet
2.9.1 Formulation of the mathematical problem
2.9.2 Exact solutions
2.9.3 Constructing analytical solutions via homotopyanalysis
References
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