Article ID Journal Published Year Pages File Type
4640961 Journal of Computational and Applied Mathematics 2009 12 Pages PDF
Abstract

A Petrov–Galerkin method using orthogonal rational functions is proposed for the Korteweg–de Vries (KdV) equation on the half line with initial-boundary values. The nonlinear term and the right-hand side term are treated by Chebyshev rational interpolation explicitly, and the linear terms are computed with the Galerkin method implicitly. Such an approach is applicable using fast algorithms. Numerical results are presented for problems with both exponentially and algebraically decaying solutions, respectively, highlighting the performance of the proposed method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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