Results 161 to 170 of about 6,268 (199)
Some of the next articles are maybe not open access.
NEW APPROACH OF THE ADOMIAN DECOMPOSITION METHOD
International Journal of Numerical Methods and Applications, 2017Summary: In this paper, we develop a new approach inspired by Adomian's decomposition method and the constants method to solve Volterra's second kind linear integral equations.
Moussa, Yaya +3 more
openaire +2 more sources
Numerical implementation of Adomian decomposition method
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babolian, E., Davari, A.
openaire +2 more sources
New applications of Adomian decomposition method
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Wakil, S. A., Abdou, M. A.
openaire +2 more sources
An algorithm for Adomian decomposition method
Applied Mathematics and Computation, 2004The decomposition method, proposed by \textit{G. Adomian} [J. Math. Anal. Appl. 102, 420--434 (1984; Zbl 0554.60065)], used initially to solve partial differential equations, has been extended to solve a wide class of problems: linear and nonlinear deterministic and stochastic problems, from physics, biology and chemical reactions.
Chen, Wenhai, Lu, Zhengyi
openaire +2 more sources
Adomian Decomposition Method Using Integrating Factor
Communications in Theoretical Physics, 2013This paper proposes a new Adomian decomposition method by using integrating factor. Nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, the complete error analysis for this method is presented.
Yinwei Lin +2 more
openaire +1 more source
Adomian decomposition method by Legendre polynomials
Chaos, Solitons & Fractals, 2009Abstract In this paper, an efficient modification of the Adomian decomposition method by using Legendre polynomials is presented. Both linear and non-linear models are suited for the proposed method. Some examples here in are solved by using this method and this paper will demonstrate that the results are more reliable and efficient.
Wei-Chung Tien, Cha’o-Kuang Chen
openaire +1 more source
Adomian decomposition method for nonlinear differential-difference equations
Communications in Nonlinear Science and Numerical Simulation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Lei, Xie, Li-Dan, Zhang, Jie-Fang
openaire +1 more source
Comparing Homotopy Perturbation Method and Adomian Decomposition Method
AIP Conference Proceedings, 2008In this paper, homotopy perturbation method and Adomian decomposition method, as two well known methods, for solving functional equations are compared. It has been shown that these two methods are the same, for solving special equations. For illustration and more explanation of the idea, two examples are provided.
Jafar Biazar +2 more
openaire +1 more source
Adomian decomposition method with Chebyshev polynomials
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Adomian's Decomposition Method
2017In this chapter, we apply Adomian's Decomposition Method to find appropriate solutions of heat and mass transfer in the two-dimensional and axisymmetric unsteady flow between parallel plates and squeezing flow and heat transfer between two parallel disks with velocity slip, temperature jump which are of utmost importance in applied and engineering ...
openaire +1 more source