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Mathematics of Computation

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Finite difference method for generalized Zakharov equations

Authors: Qian Shun Chang, Bo Ling Guo and Hong Jiang
Journal: Math. Comp. 64 (1995), 537-553, S7
MSC: Primary 65M06; Secondary 65M12, 76E25, 76M20
MathSciNet review: 1284664
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Abstract: A conservative difference scheme is presented for the initial-boundary value problem for generalized Zakharov equations. The scheme can be implicit or semiexplicit depending on the choice of a parameter. On the basis of a priori estimates and an inequality about norms, convergence of the difference solution is proved in order $ O({h^2} + {\tau ^2})$, which is better than previous results.

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Keywords: Difference scheme, Zakharov equation, convergence
Article copyright: © Copyright 1995 American Mathematical Society