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Approximate Solutions of Primary Resonance for Forced Duffing Equation by Means of the Homotopy Analysis Method
homotopy analysis method(HAM) series solution
2011/8/4
Nonlinear dynamic equation is a common engineering model. There is not precise analytical solution for most of nonlinear differential equations. These nonlinear differential equations should be solved...
Explicit Analytical Solutions of Radial Permeable Power Rate Flow
non-Newtonian fluid analytical solution permeable power rate flow
2011/8/4
The research of different kinds of permeable non-Newtonian fluid flow is increasing day by day owing to the development of science, technology and production modes. It is most common to use power rate...
Approximate Solutions of Primary Resonance for Forced Duffing Equation by Means of the Homotopy Analysis Method
homotopy analysis method(HAM) series solution forced Duffing equation
2011/8/4
Nonlinear dynamic equation is a common engineering model. There is not precise analytical solution for most of nonlinear differential equations. These nonlinear differential equations should be solved...
Asymptotic behaviour of the solutions of the Falkner-Skan equations governing the swirling flow
Asymptotic behaviour principal and linearly independent Solutions injection rates
2010/9/26
Here the asymptotic nature, as the independent similarity variable tends to infinity, of the solutions of the equations governing the swirling flow in a laminar compressible boundary layer over an axi...
Traveling wave solutions of WBK shallow water equations by differential transform method
Differential transform method (DTM) Whitham–Broer–Kaup equations Approximate long wave equation
2010/11/25
By using differential transform method (DTM) to coupled Whitham–Broer–Kaup (WBK), we find the explicit traveling wave solutions of WBK equations in the form of a convergent polynomial series. In addit...
Exact solutions of unsteady dusty fluid flow through porous media in an open rectangular channel
Frenet frame field system laminar flow rectangular channel
2010/9/27
Solutions are presented for the problem of the motion of a dusty gas through Porous Media in an Open Rectangular Channel. It is assumed that the fluid and the dust particle clouds are static at the be...
Comparison of solutions obtained by exact and approximate methods for vibrating shafts
Applied mechanics Galerkin’s and exact methods Mechatronic systems
2010/2/10
Purpose: The purpose of this paper is to compare the transients of characteristics obtained by the approximate and exact method and to answer to the question – if the method can be used to nominate th...