Results 111 to 120 of about 5,810 (155)
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A modified Adomian's decomposition method
Journal of Applied Mathematics and Mechanics, 1998In some domain \(\Omega\) the authors consider a nonlinear boundary value problem for the unknown functions \(\big\{u_i\big\}_{i=1}^n\) \[ \begin{gathered} L_iu_i + R_i(u_1,\dots,u_n) + N_i(u_1,\dots,u_n) = g_i,\quad i=1,\dots,n,\\ L_i = \frac{\partial^{k_i}}{\partial\xi^{k_i}},\quad g_i = \sum_{j=0}^\infty g_{ij}\xi^j, \end{gathered}\tag{1} \] with ...
Andrianov, I. V. +2 more
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Adomian’s decomposition method for electromagnetically induced transparency
Physical Review E, 2005We developed the Adomian's decomposition method to work for the electromagnetically induced transparency (EIT) problem. The method is general and capable to solve the coupled nonlinear partial differential equations for a light pulse passing through a three-level -type coherent medium.
Yee-Mou, Kao, T F, Jiang, Ite A, Yu
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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
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Numerical implementation of Adomian decomposition method
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babolian, E., Davari, A.
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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.
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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
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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
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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
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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
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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
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