期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 235, 期 14, 页码 4003-4014出版社
ELSEVIER
DOI: 10.1016/j.cam.2011.02.012
关键词
Generalized regularized long wave equation; Reproducing kernel space
On the basis of a reproducing kernel space, an iterative algorithm for solving the generalized regularized long wave equation is presented. The analytical solution in the reproducing kernel space is shown in a series form and the approximate solution u(n) is constructed by truncating the series to n terms. The convergence of u(n) to the analytical solution is also proved. Results obtained by the proposed method imply that it can be considered as a simple and accurate method for solving such evolution equations. (C) 2011 Elsevier B.V. All rights reserved.
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