Abstract
A fourth-order finite difference scheme for the Kuramoto-Tsuzuki equation is considered. The theoretical properties of the proposed scheme, such as the existence, uniqueness and the consistency errors are analyzed. The error estimates in a discrete maximum-norm show that the convergence rates of the difference scheme are of order O(h4+k2). Some numerical experiments are reported to confirm the advantages of the proposed difference scheme by comparing it with other existing recent numerical methods.
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