共查询到13条相似文献,搜索用时 140 毫秒
1.
Homotopic method of solving a class of EI Nino/La Nina-Southern Oscillation sea-air oscillator 下载免费PDF全文
The EI Nino/La Nina-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model. 相似文献
2.
Variational regularization method of solving the Cauchy problem for Laplace's equation: Innovation of the Grad-Shafranov (GS) reconstruction 下载免费PDF全文
The simplified linear model of Grad-Shafranov (GS) reconstruction can be reformulated into an inverse boundary value problem of Laplace's equation. Therefore, in this paper we focus on the method of solving the inverse boundary value problem of Laplace's equation. In the first place, the variational regularization method is used to deal with the ill- posedness of the Cauchy problem for Laplace's equation. Then, the 'L-Curve' principle is suggested to be adopted in choosing the optimal regularization parameter. Finally, a numerical experiment is implemented with a section of Neumann and Dirichlet boundary conditions with observation errors. The results well converge to the exact solution of the problem, which proves the efficiency and robustness of the proposed method. When the order of observation error δ is 10-1, the order of the approximate result error can reach 10-3. 相似文献
3.
A multisymplectic variational internal energy corresponding equation, its associated local framework for the nonlinear elastic wave equation is presented. The modified to the approximate nonlinea.r elastic wave equation is derived, we obtain the energy and momentum conservation laws as well as the multisymplectic form simultaneously directly from the variational principle 相似文献
4.
Variational principles are constructed using the semi-inverse method for two kinds of extended Korteweg—de Vries (KdV) equations, which can be regarded as simple models of the nonlinear oceanic internal waves and atmospheric long waves, respectively. The obtained variational principles have also been proved to be correct. 相似文献
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The EI Ni\~{n}o/La Ni\~{n}a--Southern Oscillation (ENSO) is an
interannual phenomenon involved in the tropical Pacific
ocean--atmosphere interactions. In this paper, a class of coupled
system of the ENSO mechanism is considered. Based on a class of
oscillator of ENSO model, the asymptotic solution of a corresponding
problem is studied by employing the approximate method. It is proved
from the results that the perturbation method can be used for
analysing the sea surface temperature anomaly in the equatorial
eastern Pacific and the thermocline depth anomaly of the
atmosphere--ocean oscillation for the ENSO model. 相似文献
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Asymptotic solution for a class of sea-air oscillator model for El Nin^~o-southern oscillation 下载免费PDF全文
The El Nifio-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is used. And based on a class of oscillator of ENSO model, the approximate solution of a corresponding problem is studied by employing the perturbation method. Firstly, an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced, Secondly, by using the perturbed method, the zeroth and first order asymptotic perturbed solutions are constructed. Finally, from the comparison of the values for a figure, it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy. And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model. 相似文献
9.
The periodic solution to a delayed sea-air oscillator coupling model for the El Nifio-Southern Oscillation (ENSO) 下载免费PDF全文
A time-delay sea-air oscillator coupling model is studied. Using Mawhin's continuation theorem, the result on the existence of periodic solutions for the sea-air oscillator model is obtained. 相似文献
10.
The sea--air oscillator model of decadal variations in subtropical cells and equatorial Pacific SST 下载免费PDF全文
In this paper a time delay equation for sea--air oscillator model is
studied. The aim is to create an approximate solving method of
nonlinear equation for sea--air oscillator model. Employing the
method of variational iteration, it obtains the approximate solution
of corresponding equation. This method is an approximate analytic
method, which can be often used for analysing other behaviour of the
sea surface temperature anomaly of the atmosphere--ocean oscillator
model. 相似文献
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The homotopic mapping method for sea-air oscillator model of interdecadal climate fluctuations 总被引:2,自引:0,他引:2 下载免费PDF全文
The E1 Nifio/La Nifia Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interactions. In this paper, a coupled system of sea-air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the method of homotopic mapping, the approximate solution of corresponding problem is studied. It is proven from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model. 相似文献
13.
Modified variational iteration method for an El Ni no Southern Oscillation delayed oscillator 下载免费PDF全文
This paper studies a delayed air-sea coupled oscillator describing the physical mechanism of El Niño Southern Oscillation. The approximate expansions of the delayed differential equation's solution are obtained successfully by the modified variational iteration method. The numerical results illustrate the effectiveness and correctness of the method by comparing with the exact solution of the reduced model. 相似文献