Numerical solution of the sine-Gordon equation. (English) Zbl 0622.65131

The authors propose two difference schemes which are discrete energy conserving for the sine-Gordon equation. The convergence and stability for the schemes are proved by using the energy method. Finally some numerical results are presented.
Reviewer: Guo Boling


65Z05 Applications to the sciences
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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