[PDF] Top 20 DECOMPOSITION METHOD IN COMPARISON WITH NUMERICAL SOLUTIONS OF BURGERS EQUATION

... differential equation which is used as a model for these problems is Burgers ...This equation is applied to laminar and turbulence flows as ... See full document

... plicit numerical solutions are done to generalize these equations to higher dimensions ...ent numerical methods such as the finite differ- ence, the finite element, and the spectral meth- ods, are ... See full document

... the numerical solutions of Advection diffusion equation (ADE) by Galerkin method (GM), Adomian decomposition method (ADM) and Homotopy perturbation method (HPM); and then, ... See full document

... the numerical solution of the nonlinear steady two dimensional Burgers' Equation introduced by Saeed ...MEDG method in combination with suitable preconditioned iterative scheme for solving the ... See full document

... Burger’s equation is a fundamental partial differential equation in fluid ...Analytical solutions of the partial differential equations modeling physical pheno- mena exist only in few of the ... See full document

... Type method with moving mesh is constructed for numerical solution of one dimensional nonlinear Burgers Equation with Homogeneous Dirichlets boundary ...scheme. Numerical ... See full document

... governing equation for the propagation of optical solitons for trans-continental and trans-oceanic distances through an optical fiber is given by the nonlinear Schrödinger’s equation (NLSE) that can be ... See full document

... iteration method, which are based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the ...equation. Numerical solutions of the ... See full document

... numerical solutions of the KdVB equations without any transformations, linearization or weak nonlinearity assumptions in ...(EFG) method for nu- merically solving the compound KdVB equation ... See full document

... analytical solutions of such equations are of funda- mental importance since a lot of mathematical-physical models are described by ...possible solutions to NLEEs, certain special form solutions may ... See full document

... fractional Burgers-Poisson (MFBP) equation was introduced, exact as well as approximate solutions to the introduced MFBP, fractional Burgers-Poisson (fBP) and Burgers-Poisson (BP) ... See full document

... main numerical discretization tehnique discussed is the Differential Quadrature method ...Difference method (FDM) will be used for comparison with the DQM on their accuracy and convergence ... See full document

... Adomian Decomposition Method has been applied to a wide class of problems in physics, biology and chemical ...The method provides the solution in a rapid convergent series with computable terms ... See full document

... wave equation. This equation plays a major role in the study of nonlinear dispersive ...RLW equation particularly describes the behavior of the undular bore [1-3], it has also been derived from the ... See full document

... KdV equation has been found for the special case of solitary waves in ...the solutions of (gfKdV) include finite difference methods, collection methods and Galerkin ...steady solutions of this ... See full document

... element method is a numerical solution ...This method becomes popular over the last ...element method (FEM) for the modeling of the complex problem. This method having applicability in ... See full document

... Adomian decomposition method was used for homogeneous and inhomogeneous coupled Burgers’ equations with initial ...exact solutions for wide classes of ...the decomposition method ... See full document

... used Burgers’ equation to develop new algorithms and to test various existing ...the Burgers’ equations into parabolic partial differential ...nonlinear Burgers’ equation directly ... See full document

... graphical comparison between the exact solution and the approximated one at the 10TH order, we find that the detachment between the two curves practically starts from the threshold value calculated and illustrated ... See full document

... a Burgers-Huxley equation is solved by using variety of methods: the Ado- mian’s decomposition method , modified Adomian’s decomposition method , variational iteration ... See full document