Improved approximations for the Rayleigh wave velocity in [-1, 0.5]

Authors

  • Pham Chi Vinh Hanoi University of Science, Vietnam
  • Peter G. Malischewsky Institute for Geosciences, Friedrich-Schiller University Jena Burgweg 11, 07749 Jena, Germany

DOI:

https://doi.org/10.15625/0866-7136/30/4/5640

Abstract

In the present paper we derive improved approximations for the Rayleigh wave velocity in the interval \(\nu  \in \) [−1, 0.5] using the method of least squares. In particular: (i) We create approximate polynomials of order 4, 5, 6 whose maximum percentage errors are 0.035 %, 0.015 %, 0.0083 %, respectively. (2i) Improved approximations in the form of the inverse of polynomials of order 3, 5 are also established. They are approximations with very high accuracy. (3i) By using the best approximate second-order polynomial of the cubic power in the space \(C\)[0.474572, 0.912622], we derive an approximation that is the best, so far, of the approximations obtained by approximating the secular equation.

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Published

31-12-2008

How to Cite

Vinh, P. C., & Malischewsky, P. G. (2008). Improved approximations for the Rayleigh wave velocity in [-1, 0.5]. Vietnam Journal of Mechanics, 30(4), 347 –. https://doi.org/10.15625/0866-7136/30/4/5640

Issue

Section

Research Paper

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