Conclusion
In conclusion, a major limitation of the finite-difference scheme is numerical dispersion. A pseudospectral method is proposed for the accurate solution of spatial derivatives in nonperiodic domains. The method is based on a Chebyshev collocation scheme. The method requires much fewer grid points to achieve the same accuracy as with finite-difference methods. The pseudospectral method, on the other hand, requires more calculations per grid point.
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Nielsen, S.A., Lynova, J.P., Kristensen, W.D. (2002). Pseudospectral Time-Domain Modeling of Nondestructive Ultrasonic Fields. In: Halliwell, M., Wells, P.N.T. (eds) Acoustical Imaging., vol 25. Springer, Boston, MA. https://doi.org/10.1007/0-306-47107-8_25
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DOI: https://doi.org/10.1007/0-306-47107-8_25
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