Type:
The boundary integral equation approach for numerical solution of the one-dimensional sine-gordon equation
Journal: Numerical Methods for Partial Differential Equations (10982426)Year: November 2008Volume: 24Issue: Pages: 1405 - 1415
Dehghan M.Mirzaei D.a
DOI:10.1002/num.20325Language: English
Abstract
This article describes a numerical method based on the boundary integral equation and dual reciprocity method for solving the one-dimensional Sine-Gordon (SG) equation. The time derivative is approximated by the time-stepping method and a predictor-corrector scheme is employed to deal with the nonlinearity which appears in the problem. Numerical results are presented for some problems to demonstrate the use-fulness and. accuracy of this approach. In addition, the conservation of energy in SG equation is investigated. © 2008 Wiley Periodicals, Inc.