We consider an initial boundary-value problem for the regularized long-wave equation. A three level one-parameter family of conservative difference schemes is studied. Two level schemes are used to find the values of the unknown functions on the first level. A numerical method for selection of artificial boundary conditions is proposed. It is proved that the finite difference scheme converges at rate O ( 2 h 2 ) when an exact solution belongs to the Sobolev space .
No takes yet. Share an insight, caveat, or question.
Berikelashvili et al. (2011) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: