Numerical method for solving scalar problem of monochromatic wave scattering from a screen with nonlinear transmission conditions
- Authors: Nesterov V.O.1, Tsupak A.A.1
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Affiliations:
- Penza State University
- Issue: No 3 (2025)
- Pages: 13-22
- Section: MATHEMATICS
- URL: https://ogarev-online.ru/2072-3040/article/view/360877
- DOI: https://doi.org/10.21685/2072-3040-2025-3-2
- ID: 360877
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Abstract
Background. The purpose of the study is to develop a numerical approach for solving the scalar diffraction problem on a flat screen with nonlinear transmission conditions. Material and methods. The original problem is reduced to a weakly singular nonlinear integral equation; the collocation method is used to solve the integral equation. Results. The diffraction problem is reduced to a nonlinear integral equation over the screen surface; a numerical method was developed for approximate solving the integral equation. Conclusions. An efficient convergent numerical method was developed and implemented to solve the actual diffraction problem.
About the authors
Vladislav O. Nesterov
Penza State University
Author for correspondence.
Email: nesterovvlad0_o@mail.ru
Postgraduate student
(40 Krasnaya street, Penza, Russia)Aleksey A. Tsupak
Penza State University
Email: altsupak@yandex.ru
Candidate of physical and mathematical sciences, associate professor, associate professor of the sub-department of mathematics and supercomputer modeling
(40 Krasnaya street, Penza, Russia)References
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