A New Fast Numerical Method for One-Dimensional Nonlinear Sine-Gordon Equation Using Multivariate Padé approximation
Year: 2014
Type: preprint
Abstract: This paper has two purposes. First we present a new definition of the multivariate Padé approximation, a new fast numerical method. Then numerical solution of the one-dimensional (1D) time-dependent nonlinear Sine-Gordon equation (SGE) is considered by this method. Numerical results are obtained for various cases involving undamped SGE. The results of numerical experiments are presented and are compared with analytical solutions to confirm the good accuracy of the presented scheme. It is shown that the technique is easy to apply for multidimensional problems.
Source: arXiv (Cornell University)
Authors: Mohebalizadeh, Hamed, Babolian, Esmail
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1576986619