نتایج جستجو برای: keywords adomian decomposition method

تعداد نتایج: 3367317  

Journal: :نظریه تقریب و کاربرد های آن 0
h. rouhparvar department of mathematics, islamic azad university, saveh-branch, saveh 39187/366, iran.

in this work, the solution of a boundary value problem is discussed via asemi analytical method. the purpose of the present paper is to inspect theapplication of the adomian decomposition method for solving the nagumo tele-graph equation. the numerical solution is obtained for some special cases sothat demonstrate the validity of method.

Journal: :computational methods for differential equations 0
murat gubes karamanoglu mehmetbey university yildiray keskin selcuk university galip oturanc selcuk university

reduced diff erental transform method (rdtm), which isone of the useful and eff ective numerical method, is applied to solve nonlinear time-dependent foam drainage equation (fde) with di fferent initial conditions. we compare our method with the famous adomian decomposition and laplace decomposition methods. the obtained resultsdemonstrated that rdtm is a powerful tool for solving nonlinear par...

Journal: :iranian journal of science and technology (sciences) 2011
e. hesameddini

dynamically adaptive numerical methods have been developed to find solutions for differential equations. thesubject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions fordifferential equations. wavelets have the ability to show functions at different levels of resolution. in this paper, a numerical method is proposed for solving the second pain...

2009
M. Matinfar

Abstract:More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for these equations to overcome t...

Reduced Differental Transform Method (RDTM), which is one of the useful and effective numerical method, is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE) with different initial conditions. We compare our method with the famous Adomian Decomposition and Laplace Decomposition Methods. The obtained results demonstrated that RDTM is a powerful tool for solving nonlinear part...

Journal: :Applied Mathematics and Computation 2009
Pei Yang Yong Chen Zhibin Li

Keywords: Adomian decomposition method Padé approximants Belov–Chaltikian lattice The nonlinear self-dual network equations Solitary solution a b s t r a c t ADM-Padé technique is a combination of Adomian decomposition method (ADM) and Padé approximants. We solve two nonlinear lattice equations using the technique which gives the approximate solution with higher accuracy and faster convergence ...

2013
Z. Azimzadeh E. Babolian

In this paper, a Laplace transform decomposition algorithm (LTDA) is proposed to solve the Riccati equation. Comparisons are made among the homotopy perturbation method (HPM), the Adomian decomposition method (ADM) and the proposed method. It is shown that the homotopy perturbation method with a specific convex homotopy is equivalent to the Adomian decomposition method and the Laplace transform...

Journal: :journal of linear and topological algebra (jlta) 0
m matinfar science of mathematics faculty, department of mathematics, university of mazandaran, p.o.box 47416-95447, babolsar, iran a riahifar university of mazandaran

in this work, we conduct a comparative study among the combine laplace transform and modi ed adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-diff erential equations of the second kind. the nonlinear part of integro-di fferential is approximated by adomian polynomials, and the equation is red...

More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to o...

1993
M. Najafi M. H. Saidi

In this work, conduction-convection heat transfer through a straight fin, property distribution due to convection-diffusion, and conduction heat transfer through a slab with temperature dependent thermal conductivity are evaluated using Adomian decomposition method. The results are compared with numerical and exact solutions. It is shown that the numerical simulation has some limitations and ma...

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