Solving the Problem of Elastic Waves Diffraction by a Fluid-Saturated Porous Gradient Layer Using a Second-Order Finite-Difference Scheme
- Authors: Tumakov D.N.1, Rung E.V.1, Danilova A.V.1
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Affiliations:
- Institute of Computational Mathematics and Information Technologies
- Issue: Vol 40, No 10 (2019)
- Pages: 1739-1752
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206017
- DOI: https://doi.org/10.1134/S1995080219100299
- ID: 206017
Cite item
Abstract
The problem of elastic wave diffraction by an isotropic fluid-saturated porous layer is considered. It is assumed that the porosity is constant and elastic parameters are continuously varying deep into the layer. The original problem is reduced to the boundary value problem for ordinary differential equations of the given form. The finite-difference scheme for the boundary value problem is obtained. The theorem is proved that the error of approximation of the solution has a second order of accuracy. Numerical results confirming theoretical conclusions are given.
About the authors
D. N. Tumakov
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: dtumakov@kpfu.ru
Russian Federation, Kazan, Tatarstan, 420008
E. V. Rung
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: HelenRung@mail.ru
Russian Federation, Kazan, Tatarstan, 420008
A. V. Danilova
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: nastya-anufrieva@mail.ru
Russian Federation, Kazan, Tatarstan, 420008