The solution of the two-dimensional sine-Gordon equation using the method of lines
作者： A.G. Bratsos
DOI: 10.1016/J.CAM.2006.07.002
关键词:
摘要: 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 …
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