Abstract
An efficient and accurate Legendre-Laguerre spectral element method for solving the Camassa-Holm equation on the half line is proposed. The spectral element method has the flexibility for arbitrary h and p adaptivity. Two kinds of Sobolev orthogonal basis functions corresponding to each subinterval are constructed, which reduces the non-zero entries of linear systems and computational cost. Numerical experiments illustrate the effectiveness and accuracy of the suggested approach.
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