Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 206, Issue 1, Pages 251-277Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.07.002
Keywords
soliton sine-Gordon equation; finite-difference method; method of lines
Categories
Ask authors/readers for more resources
The method of lines is used to transform the initial/boundary-value problem associated with the two-dimensional sine-Gordon equation in two space variables into a second-order initial-value problem. The finite-difference methods are developed by replacing the matrix-exponential term in a recurrence relation with rational approximants. The resulting finite-difference methods are analyzed for local truncation error. stability and convergence. To avoid solving the nonlinear system a predictor-corrector scheme using the explicit method as predictor and the implicit as corrector is applied. Numerical solutions for cases involving the most known from the bibliography line and ring solitons are given. (c) 2006 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available