[PDF] Top 20 On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler Lagrange Equation

... rect method of Ritz and Galerkin in solving variational problems has been of considerable concern and is well covered in many textbooks ...series method to variational prob- ...continuous solution ... See full document

... the Homotopy perturbation method (HPM) [11], Luapanov’s artificial small parameter method[21], Adomian decomposition method [2,25], variation iterative method [22,28] and so ... See full document

... differential equation. In conclusion, OHAM provides accurate numerical solution for nonlinear problems in comparison with other ...and control the convergence of the series solution by ... See full document

... the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial ...This method includes an auxiliary parameter h ... See full document

... Auxiliary parameter  in Homotopy-series (20) can be regard as iteration factor and is widely used in numerical ...the convergence of Homotopy series (20) is depending upon the value of ... See full document

... The homotopy analysis method (HAM) is applied to obtain the analytic approximate solution of the well-known Korteweg-de Vries (KdV) ...auxiliary parameter ~ , which provides us with a ... See full document

... and Lagrange interpolating [17], nonclassical parameteriza- tion [16], Chebyshev finite difference method [23], homotopy-perturbation method [1], Adomian decomposition method [7] and ... See full document

... Fuzzy differential equations (FDEs) form a major portion of a fuzzy analysis theory and are a useful tool to describe a dynamic phenomenon if its nature and data is vague (Ali et. al., 2018). The recurrent ... See full document

... [2] Gurhan Gurarslan and Murat Sari 2009 “Numerical solutions of linear and nonlinear diffusion equation by a differential quadrature method” Int. J. Nume. Meth. Biomed. Engg. Vol. 27 Pp-69-77. [3] J.H. He, ... See full document

... indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ ...specially optimal control ...original ... See full document

... ABSTRACT In the course of this paper, the Optimal Homotopy Asymptotic Method OHAM introduced by Marica is applied to solve linear and nonlinear boundary value problems both for fourth-or[r] ... See full document

... the optimal homotopy asymptotic method with different auxiliary functions has been applied to obtain the numerical solutions of linear and nonlinear seventh order boundary value ... See full document

... the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear space-time fractional Fokker–Planck equations ...sense. Solution of some particular linear and nonlinear space ... See full document

... The first two terms are the Euler Lagrange equation of Classical Mechanics operating on the zero order Lagrangian and therefore must be equal to zero. This is consistent if one considers Newtonian ... See full document

... The results of testing the third hypothesis obtained that that job satisfaction has a positive and significant effect on employee performance on CV. Zazil Bakery. Job satisfaction is basically something that is ... See full document

... The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop ...approximate solution agrees ... See full document

... the homotopy analysis method and the OHAM for nonlinear age-structured population ...distribution equation in a convective straight fin with temperature- dependent thermal conductivity and the ... See full document

... perturbation method and homotopy method is called the HPM, which eliminates the drawbacks of the traditional perturbation methods while keeping all its ... See full document

... the Homotopy Perturbation Method (HPM) is applied to obtain the closed form solution of the non-linear Burgers-Huxley ...rapid convergence towards the exact solution is shown when ... See full document

... (see [1], [2]). The unknown u represents the steady state temperature of the reac- tion, and the parameters λ, µ and β represent the Peclet Number, the Damkohler Number and the dimensionless adiabatic temperature rise ... See full document