Approximation of the RLW equation by the least square cubic B-spline finite element method
2001; Elsevier BV; Volume: 25; Issue: 3 Linguagem: Inglês
10.1016/s0307-904x(00)00030-5
ISSN1872-8480
Autores Tópico(s)Numerical methods in engineering
ResumoThe regularized long wave (RLW) equation is solved numerically by giving a new algorithm based on a kind of space-time least square finite element method, in which a combination of cubic B-splines is used as an approximate function. A single soliton solution with different amplitudes is simulated and L2,L∞ error norms and conserved quantities are given at selected times. Comparisons are made with both the analytical solution and some recent results.
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