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Homotopy Analysis Method to Solve Boussinesq Equations

Journal: Journal of Advances in Physics (Vol.10, No. 3)

Publication Date:

Authors : ; ; ;

Page : 2825-2833

Keywords : Homotopy Analysis Method; Coupled Boussinesq Equations; Pade approximations.;

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In this paper, Homotopy analysis method is applied to the nonlinear coupled differential equations of classical Boussinesq system. We have applied Homotopy analysis method (HAM) for the application problems in [1, 2, 3, 4]. We have also plotted Domb-Sykes plot for the region of convergence. We have applied Pade for the HAM series to identify the singularity and reflect it in the graph. The HAM is a analytical technique which is used to solve non-linear problems to generate a convergent series. HAM gives complete freedom to choose the initial approximation of the solution, it is the auxiliary parameter h which gives us a convenient way to guarantee the convergence of homotopy series solution. It seems that more artificial degrees of freedom implies larger possibility to gain better approximations by HAM.

Last modified: 2015-10-16 18:59:00