Method for solving the sine- gordon equation
WebAn exact solution has been obtained for the sine-Gordon equation, \(\frac{\partial^{2}\varphi}{\partial x^{2}}-\frac ... equation was derived as an integrable … WebIn recent year, spectral method [19] [20] using Legendre polynomials and Legendre wavelets as basic functions are considered to solve the Klein-Gordon and Sine-Gordon equations. By inspiring the work done in [19] [20] , we use the Chebyshev wavelet as basis function coupled with spectral method for solving nonlinear Klein-Gordon and Sine …
Method for solving the sine- gordon equation
Did you know?
Web5 mei 2014 · Conclusions. In this work, Klien-Gordon equation has been successfully solved using CTBCM incorporating a finite difference scheme. Specifically, the central difference approach is used to discretize the time derivatives and cubic trigonometric B-spline is used to interpolate the solutions at displacement Well-known two test problem … WebThe Sine-Gordonequation formula v tt(x,t)=v xx(x,t)−sinv, 0≤x≤l, t >0, where subscripts x and t stands for difference, subject to the conditions boundaryconditions …
Web8 apr. 2024 · Farshid Mirzaee [16], [17], [18] considered the nonlinear time-fractional stochastic Sine–Gordon equation based on radial basis function and finite difference method. The finite difference method was used to approximate the unknown function in the time direction and meshfree method based on radial basis function was applied to … Web11 mrt. 2014 · In this paper, two-dimensional differential transform method and modified differential transform method applied successfully for finding the approximate analytical solution of the nonlinear fractional Klein–Gordon equation. The plotted graph illustrates the behavior of the solution for different values of fractional order α. Three test examples are …
Web27 mrt. 2024 · The goal of the this paper is to solve Klein–Gordon and sine-Gordon equations by applying another powerful analytical method, called the variational homotopy perturbation method (VHPM), the method is a coupling of homotopy perturbation method (He, 1999a) and variational iteration method (He, 1999b ). WebThe generalized sine-Gordon (sG) equation u tx = 1+ν∂2 x sinu, (1.1) where u = u(x,t) is a scalar-valued function, ν is a real parameter, ∂2 x = ∂ 2/∂x and the …
WebAbstract— Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon equation. The approximate analytical solution of the equation is calculated in the form of a series with easily computable components. Comparing the methodology with some other known
WebKlein--Gordon equation. The Klein--Gordon and sine-Gordon equations are a two nonlinear hyperbolic partial differential equations that model problems in classical and quantum mechanics, solitons, and condensed matter physics. Let us consider the Klein--Gordon equation. u t t − y x x + b u + g ( u) = f ( x, t), and sine-Gordon equation. e-gov 複数アカウントWebBy applying the Adomian decomposition method (ADM), M. Ghoreishi solved some types of nonlinear wave-like equation [6], V.G. Gupta and S. Gupta worked out by using homotopy perturbation transform method ( HPTM) these types of equation tool [7], furthermore, A. Aslanov [3], F. Yin and et al [12] and A. Atangana and et al [2] … e-gov 認証エラーWeb26 jul. 2010 · The generalized sine-Gordon (sG) equation utx = (1 + ν∂ 2x )sin u was derived as an integrable generalization of the sG equation. In a previous paper (Matsuno 2010 J. Phys. A: Math. Theor. 43 105204) which is referred to as I, we developed a systematic method for solving the generalized sG equation with ν = −1. e-gov 申請 マニュアルWebT1 - Method for solving the sine-gordon equation. AU - Ablowitz, M. J. AU - Kaup, D. J. AU - Newell, A. C. AU - Segur, H. PY - 1973. Y1 - 1973. N2 - The initial value problem … e-gov 証明書 インポートWeb28 jan. 2010 · Abstract: The generalized sine-Gordon (sG) equation was derived as an integrable generalization of the sG equation. In this paper, we develop a direct method … e-gov電子申請 xmlファイルhttp://primat.mephi.ru/wiki/ow.asp?Sine%2DGordon%5Fequation e-gov 電子申請 アクセスできないWeb1 jan. 1977 · It is shown that the motion of certain types of helical space curves may be related to the sine–Gordon equation and to ... The intrinsic equations that govern the … e-gov 障害を理由とする差別の解消の推進に関する法律