Chebyshev Collocation Spectral Method for Solving the RLW Equation
نویسنده
چکیده
A spectral solution of the RLW equation based on collocation method using Chebyshev polynomials as a basis for the approximate solution is proposed. Test problems, including the motion of a single solitary wave with different amplitudes are used to validate this algorithm which is found to be more accurate than previous ones. The interaction of solitary waves is used to discuss the effect of the behavior of the solitary waves after the interaction. The three invariants of the motion are evaluated to determine the conservation properties of the algorithm. The temporal evaluation of a Maxwellian initial pulse is then studied. Comparisons are made with the most recent results both of the error norms and the invariant values.
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