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A Note on the Homotopy Analysis Method
(Pergamon-Elsevier Science Ltd, 2010)
The present work is devoted to using an analytic approach, namely the homotopy analysis method, to obtain convergent series solutions of strongly nonlinear problems. On the basis of the homotopy derivative concept described ...
Series Solution of Nonlinear Two-Point Singularly Perturbed Boundary Layer Problems
(Pergamon-Elsevier Science Ltd, 2010)
The present paper is concerned with the approximate analytic series solution of the nonlinear two-point second-order singularly perturbed boundary value problems. In place of the traditional numerical, perturbation or ...
Non-Linear And Non-Stationary Modes Of The Lower Branch Of The Incompressible Boundary Layer Flow Due To A Rotating Disk
(Amer Mathematical Soc, 2007)
In this paper a theoretical study is undertaken to investigate the structure of the lower branch neutral stability modes of three-dimensional small disturbances imposed on the incompressible Von Karman's boundary layer ...
Some Issues On Hpm And Ham Methods: A Convergence Scheme
(Pergamon-Elsevier Science Ltd, 2011)
The homotopy method for the solution of nonlinear equations is revisited in the present study. An analytic method is proposed for determining the valid region of convergence of control parameter of the homotopy series, as ...