Summary
The “good” Boussinesq equationu tt =−u xxxx +u xx +(u 2) xx has recently been found to possess an interesting soliton-interaction mechanism. In this paper we study the nonlinear stability and the convergence of some simple finite-difference schemes for the numerical solution of problems involving the “good” Boussinesq equation. Numerical experimentas are also reported.
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Ortega, T., Sanz-Serna, J.M. Nonlinear stability and convergence of finite-difference methods for the “good” Boussinesq equation. Numer. Math. 58, 215–229 (1990). https://doi.org/10.1007/BF01385620
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DOI: https://doi.org/10.1007/BF01385620