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1.
We examine quasi exactly solvable bistable potentials and their supersymmetric partners within the framework of the asymptotic iteration method (AIM). It is shown that the AIM produces excellent approximate spectra and that some×it is found to be more useful to use the partner potential for computation. We also discuss the direct application of the AIM to the Fokker-Planck equation. 相似文献
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The asymptotic iteration method(AIM) is used to obtain the quasi-exact solutions of the Schr o¨dinger equation with a deformed well potential. For arbitrary potential parameters, a numerical aspect of AIM is also applied to obtain highly accurate energy eigenvalues. Additionally, the perturbation expansion, based on the AIM approach, is utilized to obtain simple analytic expressions for the energy eigenvalues. 相似文献
3.
Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes 下载免费PDF全文
We use the monodromy method to investigate the asymptotic quasinormal modes of regular black holes based on the explicit Stokes portraits. We find that, for regular black holes with spherical symmetry and a single shape function, the analytical forms of the asymptotic frequency spectrum are not universal and do not depend on the multipole number but on the presence of complex singularities and the trajectory of asymptotic solutions along the Stokes lines. 相似文献
4.
We study the application of the asymptotic iteration method to the Khare-Mandal potential and its PT-symmetric partner. The eigenvalues and eigenfunctions for both potentials are obtained analytically. We have shown that although
the quasi-exactly solvable energy eigenvalues of the Khare-Mandal potential are found to be in complex conjugate pairs for
certain values of potential parameters, its PT-symmetric partner exhibits real energy eigenvalues in all cases.
相似文献
5.
We provide a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes. The proposed algorithm can generally be applied to various background metrics, and in particular, it accommodates both analytic and numerical forms of the tortoise coordinates, as well as black hole spacetimes. We give a detailed account of different types of black hole metrics, master equations, and the corresponding boundary conditions. Besides, we argue that the method can readily be applied to cases where the master equation is a system of coupled equations. By adjusting the number of interpolation points, the present method provides a desirable degree of precision, in reasonable balance with its efficiency. The method is flexible and can easily be adopted to various distinct physical scenarios. 相似文献
6.
In this Letter, a general framework of the variational iteration method (VIM) is presented for solving systems of linear and nonlinear partial differential equations (PDEs). In VIM, a correction functional is constructed by a general Lagrange's multiplier which can be identified via a variational theory. VIM yields an approximate solution in the form of a rapid convergent series. Comparison with the exact solutions shows that VIM is a powerful method for the solution of linear and nonlinear systems of PDEs. 相似文献
7.
Solutions of the Duffin-Kemmer-Petiau equation in the presence of Hulthn potential in(1+2) dimensions for unity spin particles using the asymptotic iteration method 下载免费PDF全文
The relativistic Duffin-Kemmer-Petiau equation in the presence of Hulthn potential in(1+2) dimensions for spin-one particles is studied.Hence,the asymptotic iteration method is used for obtaining energy eigenvalues and eigenfunctions. 相似文献
8.
Duffing方程的变分迭代解法 总被引:1,自引:0,他引:1
应用变分迭代算法分析了Dufing方程的强迫振动,得到了整个区域内(0 < ε < ∞)一致有效的近似解,其近似周期的最大相对误差小于5.66%,并得到了在整个区域内一致有效的主共振和次共振频率。 相似文献
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10.
R. Koç O. Özer H. Tütüncüler R. G. Yıldırım 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,59(3):375-383
We consider solutions of the 2×2 matrix Hamiltonian of
physical systems within the context of the asymptotic iteration
method. Our technique is based on transformation of the associated
Hamiltonian in the form of the first order coupled differential
equations. We construct a general matrix Hamiltonian which
includes a wide class of physical models. The systematic study
presented here reproduces a number of earlier results in a natural
way as well as leading to new findings. Possible generalizations
of the method are also suggested. 相似文献
11.
Fractional variational iteration method and its application 总被引:1,自引:0,他引:1
Guo-cheng Wu 《Physics letters. A》2010,374(25):2506-411
Fractional differential equations have been investigated by variational iteration method. However, the previous works avoid the term of fractional derivative and handle them as a restricted variation. We propose herein a fractional variational iteration method with modified Riemann Liouville derivative which is more efficient to solve the fractional differential equations. 相似文献
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Adomian渐近分解法及其在力学问题中的应用 总被引:2,自引:0,他引:2
介绍了Adomian渐近分解法,并用此方法研究了几个力学系统的渐近行为,从而指出该方法是研究力学系统渐近行为的一种直接有效的新方法。 相似文献
14.
We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The VIM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. 相似文献
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Shimin Guo Liquan Mei 《Physics letters. A》2011,375(3):309-313
In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann-Liouville derivative. Several examples have been solved to illustrate the proposed method is quite effective and convenient for solving kinds of nonlinear fractional order problems. 相似文献
17.
利用广义变分迭代方法研究了一类非线性发展扰动方程.首先引入一个泛函.然后求其变分,最后构造方程解的迭代关系式.得到了问题的近似解和精确解析解.
关键词:
发展方程
扰动
变分迭代 相似文献
18.
Instead of finding a small parameter for solving nonlinear problems through perturbation method, a new analytical method called He's variational iteration method (VIM) is introduced to be applied to solve nonlinear heat transfer equations in this Letter. In this research, variational iteration method is used to solve an unsteady nonlinear convective-radiative equation and a nonlinear convective-radiative-conduction equation containing two small parameters of ε1 and ε2 and evaluate the efficiency of straight fins. VIM can apply to the nonlinear equations with boundary or initial conditions defined in different points just with developing the correction functional using the extra parameters such as Cn, as used in this Letter. 相似文献
19.
The application of He's variational iteration method to nonlinear equations arising in heat transfer
In this Letter, we purpose to solve nonlinear equations arising in heat transfer through the He's variational iteration method (VIM) and show that it is strongly and simply capable of solving a large class of linear or nonlinear differential equations without the tangible restriction of sensitivity to the degree of the nonlinear term and also is very user friend because it reduces the size of calculations besides, its iterations are direct and straightforward. VIM can apply to the nonlinear equations with boundary or initial conditions defined in different points just with developing the correction functional using the extra parameters such as cn, as used in this Letter. 相似文献