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摘要
In this paper, we propose a three level compact difference scheme of O(tau(4) h(4)) for the difference solution of a two-dimensional second-order non-homogeneous linear hyperbolic equation u(tt) 2 alpha u(t) beta(2)u = u(xx) u(yy) f (x, y, t), 0 < x, y < 1, t > 0, where alpha > beta >= 0. Stability analysis of the method has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.
