Email this article Solution of Nonhomogeneous Helmholtz Equation with Variable Coefficient Using Boundary Domain Integral Method
- Authors: Mardanov R.F.1, Zaripov S.K.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 39, No 6 (2018)
- Pages: 783-793
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202395
- DOI: https://doi.org/10.1134/S1995080218060112
- ID: 202395
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Abstract
The Boundary Domain Integral Method (BDIM) is applied to the solution of the nonhomogeneous Helmholtz equation with variable coefficient. The analytical formulas for the integrals over the individual boundaries and domain integrals are used to increase the accuracy of the numerical approach. Comparisons of the developed BDIM with the analytical solutions for the homogeneous Helmholtz equation with constant coefficient and the nonhomogeneous Helmholtz equation with variable coefficient are given.
About the authors
R. F. Mardanov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Renat.Mardanov@kpfu.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
S. K. Zaripov
Kazan (Volga Region) Federal University
Email: Renat.Mardanov@kpfu.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
