[PDF] Top 20 Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

... the decomposition method is also an approximation, but it is one that does not change the ...The method itself has some features in common with other ...general fifth-order ... See full document

... fractional differential equation don’t have exact analytic solutions , so approximation and numerical techniques must be used ...iteration method is based on Lagrange multiplier ...as ... See full document

... as Adomian decomposition method (ADM), perturbation method, homotopy perturbation method, SOME BLAISE ABBO (SBA) method, variational iteration method ... See full document

... [5] J. Hietarinta, “A Search for Bilinear Equations Passing Hirota’s Three-Soliton Condition. I. KdV-Type Bilinear Equations,” Journal of Mathematical Physics, Vol. 28, No. 8, 1987, pp. 1732-1742. ... See full document

... Nicholas method presented in ...the method made by various researches in order to improve the accuracy or expansion of the application of the original ...the Adomian de- composition ... See full document

... The 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 ... See full document

... partial differential equations. In many instances these equations are nonlinear and exact solutions are difficult to ...obtain. Numerical methods were developed over a period of time in ... See full document

... Discrete Adomian Decomposition Method and its application for solving nonlinear integro-differential ...This method is based upon the Laplace Adomian decomposition ... See full document

... the numerical solution of nonlinear partial equations by using numerical methods and developing these methods ( AL- Safi,2007; Leveque, 2006; Rossler, Husner,1997; Wescot, ...the numerical ... See full document

... 1/2 order derivative, which is regarded as the birth of fractional differential ...the application of fractional derivative like Old- ham and Spainer [1], Miller and Ross [2], Podlubny [3], Samko et ... See full document

... the numerical method relatively new for solving fuzzy fractional differential equations using Adomian decomposition method (ADM) where the fractional derivative is assumed ... See full document

... the Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact ...this ... See full document

... flows, differential equation of elliptic-hyperbolic operator type ...constitutive equations is specified by at least one elasticity ...nonlinear fifth order two point boundary value problems ... See full document

... The combination of the perturbation method and the homotopy method is called the HPM, which had eliminated the limitations of the traditional perturbation methods. On the other hand, this technique can have ... See full document

... the Adomian decomposition ...the Adomian method for differential and operator ...the order of the convergence of the Adomian method in ...modified Adomian ... See full document

... Tables 9 and 10 shows the comparison between results of the PIM, ADM and the exact solutions computed for different orders and some selected values of and their run times. The absolute error between the PIM and the exact ... See full document

... the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by Moolgavkar ... See full document

... modified Adomian decomposition method (MADM) provides a scheme that can be used for solving initial value problems or integral ...This method solves any problem by finding successive ... See full document

... transform method combined with Adomian decomposition method has been successfully applied to solve systems of nonliner fractional partial differential ...this method are compared ... See full document

... 1980’s, Adomian [4-7] proposed a new and fruitful method (so-called the Adomian decom- position method) for solving linear and nonlinear (alge- braic, differential, partial ... See full document