Haar Wavelet Method for Solving the Klein-Gordon and the Sine-Gordon Equations
暂无分享,去创建一个
[1] Qin Sheng,et al. A predictor‐‐corrector scheme for the sine‐Gordon equation , 2000 .
[2] Dogan Kaya,et al. An implementation of the ADM for generalized one-dimensional Klein-Gordon equation , 2005, Appl. Math. Comput..
[3] P. Clarkson,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering: References , 1991 .
[4] Carlo Cattani. Haar Wavelet Splines , 2001 .
[5] Ülo Lepik,et al. Numerical solution of evolution equations by the Haar wavelet method , 2007, Appl. Math. Comput..
[6] G. Wei,et al. Discrete singular convolution for the sine-Gordon equation , 2000 .
[7] Petre P. Teodorescu,et al. On the solitons and nonlinear wave equations , 2008 .
[8] Gokul Hariharan,et al. Haar wavelet method for solving Fisher's equation , 2009, Appl. Math. Comput..
[9] Ulo Lepik,et al. Haar wavelet method for solving higher order differential equations , 2008 .
[10] Martin Eerme,et al. Weak formulation based Haar wavelet method for solving differential equations , 2009, Appl. Math. Comput..
[11] Mark J. Ablowitz,et al. NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION , 1992 .
[12] Hongyan Zhi,et al. A new Riccati equation expansion method with symbolic computation to construct new travelling wave solution of nonlinear differential equations , 2006, Appl. Math. Comput..
[13] Salah M. El-Sayed,et al. A numerical solution of the Klein-Gordon equation and convergence of the decomposition method , 2004, Appl. Math. Comput..
[14] Mark A. M. Lynch. Large amplitude instability in finite difference approximations to the Klein-Gordon equation , 1999 .
[15] Abdul-Majid Wazwaz,et al. The modified decomposition method for analytic treatment of differential equations , 2006, Appl. Math. Comput..
[16] Ülo Lepik. Solving integral and differential equations by the aid of non-uniform Haar wavelets , 2008, Appl. Math. Comput..
[17] K. Kannan,et al. Haar wavelet method for solving some nonlinear Parabolic equations , 2010, Forum for Interdisciplinary Mathematics.
[18] K. Kannan,et al. A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations , 2010 .
[19] Gokul Hariharan,et al. Haar wavelet in estimating depth profile of soil temperature , 2009, Appl. Math. Comput..
[20] A. Haar. Zur Theorie der orthogonalen Funktionensysteme , 1910 .
[21] Salah M. El-Sayed,et al. The decomposition method for studying the Klein–Gordon equation , 2003 .
[22] Abdul-Majid Wazwaz,et al. A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations , 2007 .
[23] Mark J. Ablowitz,et al. On the Numerical Solution of the Sine-Gordon Equation , 1996 .
[24] Qing-Jiang Chen,et al. Numerical solution of differential equations by using Haar wavelets , 2007, 2007 International Conference on Wavelet Analysis and Pattern Recognition.
[25] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .
[26] Abdul-Majid Wazwaz,et al. A new algorithm for calculating adomian polynomials for nonlinear operators , 2000, Appl. Math. Comput..
[27] Silvia Bertoluzza,et al. A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory , 2010 .
[28] Ülo Lepik. Solving PDEs with the aid of two-dimensional Haar wavelets , 2011, Comput. Math. Appl..
[29] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[30] C. F. Chen,et al. Haar wavelet method for solving lumped and distributed-parameter systems , 1997 .
[31] Abdul-Majid Wazwaz,et al. A reliable modification of Adomian decomposition method , 1999, Appl. Math. Comput..