Exponentially convergent method for modeling of the propagation of pollution by moving sources

Authors

  • V.B. Vasylyk Institute of mathematics of National Academy of Sciences
  • D.O. Sytnyk Institute of mathematics of National Academy of Sciences
  • N.O. Komaschenko Institute of mathematics of National Academy of Sciences

Abstract

An exponentially convergent method is constructed for an approximate solution of the boundary value problem for the convection-diffusion equation, which describes the process of propagation of pollution from moving sources of emission. The method is based on the representation of the solution by means of fundamental solutions and Sinc-quadrature formulas. Test calculations were conducted to simulate the spread of air pollution during the take-off of an airplane.

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Published

2020-08-10

How to Cite

Vasylyk, V., Sytnyk, D., & Komaschenko, N. (2020). Exponentially convergent method for modeling of the propagation of pollution by moving sources. Transactions of Institute of Mathematics, the NAS of Ukraine, 15(1), 7–15. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/435

Issue

Vol. 15 No. 1 (2018): Mathematical problems of mechanics and computational mathematics

Section

Research papers

License

Copyright (c) 2020 V.B. Vasylyk, D.O. Sytnyk, N.O. Komaschenko

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.