HOMOTOPY ANALYSIS METHOD TO SOLVE BOUSSINESQ EQUATIONS
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 10, Issue 3
Abstract
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.
Authors and Affiliations
Achala Nargund, R Madhusudhan, S B Sathyanarayana
Keywords
Related Articles
- EP ID EP653708
- DOI 10.24297/jap.v10i3.1322
- Views 105
- Downloads 0
Effect of Spray Directions on the Crystal Growth of Fluorine-Doped Tin Oxide One-dimensional nanostructured Thin Films
In this study the novel spray pyrolysis technique, known as rotational, pulsed and atomized spray deposition method was used to fabricate vertically aligned and well separated FTO One-dimensional nanostructures on glass...
Information theory and dimensions: Enhancing Quantum Mechanics
This paper seeks to discuss why information theory is so important. What is information, knowledge is interaction of human mind and information, but there is a difference between information theory and knowledge theory....
What drives our brain? PFO as a physical being outside our universe
Local functions of the brain can be complemented by other parts by training, even if they were lost by an accident such as external injury and internal bleeding. This is the dynamical redistribution of functions inside t...
THE NOTHING THAT REALLY IS!
The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.This alienation has become a hindrance for the understanding of the nature and the historical evol...
A New Condition of Formation and Stablity of All Crystalline Systems in a Good Agreement with Experimental Data
In this paper we derived a new condition of formation and stability of all crystalline systems and we checked its validity and it is found to be in a good agreement with experimental data. This condition is derived direc...