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.
Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations
Indian Institute of Technology Indore,
Indore 452017, India
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received March 5, 2015; final manuscript received October 14, 2016; published online November 22, 2016. Assoc. Editor: Gabor Stepan.
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Harish Kumar, K., and Antony Vijesh, V. (November 22, 2016). "Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations." ASME. J. Comput. Nonlinear Dynam. January 2017; 12(1): 011018. https://doi.org/10.1115/1.4035056
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