In this paper, a continuous in time finite element Galerkin method is first discussed for a KdV-like Rosenau equation in several space variables and optimal error estimates in L2, H1 as well as in H2- norms are derived for conforming C1-finite element spaces. Finally, several fully discrete schemes like backward Euler, Crank-Nicolson and two step backward methods are proposed and related convergence results are established.
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Chunk et al. (2001) studied this question.
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