Journal
BOUNDARY VALUE PROBLEMS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1155/2010/516260
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Funding
- National Natural Science Foundation of China [10871117, 10571110]
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A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.
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