A numerical method for one-dimensional nonlinear sine-Gordon equation using multiquadric quasi-interpolation

2009 ◽  
Vol 18 (8) ◽  
pp. 3099-3103 ◽  
Author(s):  
Ma Li-Min ◽  
Wu Zong-Min
Keyword(s):  
Numerical Method ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
One Dimensional

Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations

2016 ◽  
Vol 12 (1) ◽  
Author(s):  
K. Harish Kumar ◽  
V. Antony Vijesh
Keyword(s):  
Basis Function ◽  
Numerical Scheme ◽  
Function Method ◽  
Gordon Equation ◽  
Basic Function ◽  
Sine Gordon Equation ◽  
One Dimensional ◽  
Improve Accuracy ◽  
Chebyshev Wavelet ◽  
Grid Points

Radial basis function (RBF) has been found useful for solving coupled sine-Gordon equation with initial and boundary conditions. Though this approach produces moderate accuracy in a larger domain, it requires more grid points. In the present study, we develop an alternative numerical scheme for solving one-dimensional coupled sine-Gordon equation to improve accuracy and to reduce grid points. To achieve these objectives, we make use of a wavelet scheme and solve coupled sine-Gordon equation. Based on the numerical results from the wavelet-based scheme, we conclude that our proposed method is more efficient than the radial basic function method in terms of accuracy.

scholarly journals A new approach for one-dimensional sine-Gordon equation

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Ali Akgül ◽  
Mustafa Inc ◽  
Adem Kilicman ◽  
Dumitru Baleanu
Keyword(s):  
Gordon Equation ◽  
Sine Gordon Equation ◽  
New Approach ◽  
One Dimensional
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