[PDF] Top 20 Adomian decomposition method, nonlinear equations and spectral solutions of burgers equation

... de Adomian tem sido aplicado com sucesso na obten¸c˜ ao de solu¸c˜ oes exactas ou aproximadas de problemas lineares, n˜ ao lineares, es- toc´ asticos ou ... See full document

... differential equations (FDEs) have been the subject of considerable interest during the last two ...area of engineering, physics [10, 21], fluid-dynamics based traffic models [9], electromagnetism ... See full document

... Keskin and Oturanç (2009) introduced a reduced form of Differential Transform Method (DTM) as reduced DTM (RDTM), and applied it to obtain solutions of non-linear PDEs and ... See full document

... solution of the generalized Burgers'-Fisher equation is ...hybridization of Exp- function method with nature inspired ...given nonlinear partial differential equa- tion (NPDE) ... See full document

... in nonlinear sciences [1-44] during the last two ...numerical and analytical techniques including Homotopy Analysis (HAM), Perturbation, Modified Adomian’s Decomposition (MADM), Variational iteration ... See full document

... availability of symbolic computation packages like Maple or Mathematica, direct searching for exact solutions of nonlinear systems of partial differential equations (PDEs) has ... See full document

... he Adomian Decomposition Method (ADM) (Adomian 1994) is a recursive methodology which has been used in several scientiic areas to solve linear and non-linear ordinary and partial ... See full document

... perturbation method has been applied to solve the parabolic ...recently, Adomian decomposition method has was applied for approximating the solution of the parabolic equations ... See full document

... the nonlinear initial or boundary value problem, such as the homotopy method [17620], the variational iteration method [21623] and the Adomian decomposition method ... See full document

... for equation (7) is shown for M = 20 in Figure ...linear and nonlinear cases are shown respectively in Figure 2 and Figure 3 corresponding to various ...The nonlinear problem behaves ... See full document

... the nonlinear problems with perturbation techniques. Adomian Decomposition Method is proven to be one of those effective and reliable techniques for solving the nonlinear ... See full document

... examples of various equations to clarify the new algebraic ...the method is self-explanatory. Hence only solutions of various equations are given in a most general form whereby ... See full document

... treatment of this sort is not found in the literature and the advantages of the periodic approximate formulae derived here are certainly their simplicity and accuracy, which makes them useful ... See full document

... energy of the linear ther- moelastic system in an isotropic, non-homogeneous (bounded, n-dimensional) medium, with a linear dissipative term effective in the whole domain, decays to zero in an exponential ... See full document

... range of the variable x is the interval [-1,1], then the range of the corresponding variable θ can be taken as [0, θ ...π and x = 1 corresponds to θ = ...polynomial of degree n in cos θ , ... See full document

... a nonlinear function on the average number of new infections per unite time (nonlinear ...existence of equilibrium points and their local stability using Routh-Hurwitz ...bifurcation ... See full document

... (t))) and p(t, x, y, x(t − r (t)), y(t − r (t)), z) satisfy a Lipschitz con- dition in x, y, x(t − r(t)), y(t − r(t)) and z; throughout the paper x(t), y(t) and z(t) are, respectively, abbreviated as ... See full document

... study of existence of positive periodic solutions of neutral differential equations has gained the attention of many researchers in recent times, see ...existence of ... See full document

... only and η and ϑ are some {f }−monotonic functions described in the assertion of the ...solution of equation (18). Consequently from Lemma 1, applied to equation (18), we obtain ... See full document

... periodicity and applied the concept to study the existence and uniqueness of weighted pseudo almost periodic solutions to ...existence of almost periodic, pseudo almost periodic, ... See full document