Results 151 to 160 of about 6,268 (199)

Constructions of solitary wave solutions for huge family of NPDEs with three applications. [PDF]

PLoS One
Alkhidhr HA, Omar Y.
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Residual power series scheme treatments for fractional Klein-Gordon problem arising in soliton theory. [PDF]

Sci Rep
Rida SZ, Arafa AAM, Hussein HS, Ameen IG, Mostafa MMM.   +4 more
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Analytical solutions for the Noyes Field model of the time fractional Belousov Zhabotinsky reaction using a hybrid integral transform technique. [PDF]

Sci Rep
Aruna K, Okposo NI, Raghavendar K, Inc M.   +3 more
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Adomian decomposition method for neutron diffusion calculations

, 2008
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On the convergence of Adomian decomposition method

Applied Mathematics and Computation, 2006
The paper is concerned with a method for the computation of the rate of convergence of solutions obtained by Adomian's decomposition method (ADM) and a modified version of ADM. The basic idea is to compare the ratios of successive terms in the series obtained using ADM and to use this information to derive insight into the convergence rate of the ...
Hosseini, M. M., Nasabzadeh, H.
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A reliable modification of Adomian decomposition method

Applied Mathematics and Computation, 1999
The purpose of this paper is to show that, although the modified technique needs only a slight variation from the standard Adomian method, the results are improved and the convergence of the series solution is accelerated. Some illustrative examples are treated proving the performance of the modified algorithms.
Abdul Majid Wazwaz
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Adomian’s decomposition method for eigenvalue problems

Physical Review E, 2005
We extend the Adomian's decomposition method to work for the general eigenvalue problems, in addition to the existing applications of the method to boundary and initial value problems with nonlinearity. We develop the Hamiltonian inverse iteration method which will provide the ground state eigenvalue and the explicit form eigenfunction within a few ...
Yee-Mou, Kao, T F, Jiang
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A modified Adomian's decomposition method

Journal of Applied Mathematics and Mechanics, 1998
In 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., Olevskij, V. I., Tokazhevskij, S.   +2 more
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Adomian’s decomposition method for electromagnetically induced transparency

Physical Review E, 2005
We 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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