Adomian decomposition method used to solve the gravity wave equations

2017 ◽  
Author(s):  
Sudi Mungkasi ◽  
Maria Febronia Sedho Dheno
Keyword(s):  
Gravity Wave ◽  
Decomposition Method ◽  
Wave Equations ◽  
Adomian Decomposition Method ◽  
Adomian Decomposition

scholarly journals A solution of nonlinear equation for the gravity wave spectra from Adomian decomposition method: a first approach

2013 ◽  
Vol 28 (4) ◽  
pp. 357-363
Author(s):  
Antonio Gledson Goulart ◽  
Davidson Martins Moreira ◽  
Luiz Cláudio Pimentel ◽  
Jesus Salvador Pérez Guerrero
Keyword(s):  
Kinetic Energy ◽  
Nonlinear Equation ◽  
Gravity Wave ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Energy Spectra ◽  
Wave Spectra ◽  
Linear Solution ◽  
Adomian Decomposition ◽  
Nonlinear Nature

In this paper, the equation for the gravity wave spectra in mean atmosphere is analytically solved without linearization by the Adomian decomposition method. As a consequence, the nonlinear nature of problem is preserved and the errors found in the results are only due to the parameterization. The results, with the parameterization applied in the simulations, indicate that the linear solution of the equation is a good approximation only for heights shorter than ten kilometers, because the linearization the equation leads to a solution that does not correctly describe the kinetic energy spectra.

Nonlinear singular one dimensional thermo-elasticity coupled system and double Laplace decomposition methods

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6269-6280
Author(s):  
Hassan Gadain
Keyword(s):  
Laplace Transform ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Coupled System ◽  
Decomposition Methods ◽  
One Dimensional ◽  
Convergence Proof ◽  
Double Laplace Transform ◽  
Adomian Decomposition

In this work, combined double Laplace transform and Adomian decomposition method is presented to solve nonlinear singular one dimensional thermo-elasticity coupled system. Moreover, the convergence proof of the double Laplace transform decomposition method applied to our problem. By using one example, our proposed method is illustrated and the obtained results are confirmed.

scholarly journals Gaussons: optical solitons with log-law nonlinearity by Laplace–Adomian decomposition method

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 182-188
Author(s):  
O. González-Gaxiola ◽  
Anjan Biswas ◽  
Abdullah Kamis Alzahrani
Keyword(s):  
Numerical Simulations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Decomposition Scheme ◽  
Error Analyses ◽  
Adomian Decomposition ◽  
Log Law

AbstractThis paper presents optical Gaussons by the aid of the Laplace–Adomian decomposition scheme. The numerical simulations are presented both in the presence and in the absence of the detuning term. The error analyses of the scheme are also displayed.

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