APPLICATION OF THE METHOD OF BOUNDARY INTEGRAL EQUATIONS FOR NON-STATIONARY PROBLEM OF THERMAL CONDUCTIVITY IN AXIALLY SYMMETRIC DOMAIN

  • Grigoriy Zrazhevsky Taras Shevchenko National University of Kyiv, Ukraine
  • Vera Zrazhevska National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute, Ukraine
Keywords: initial-boundary problem of thermal conductivity, boundary integral equation, axially symmetric domain, fundamental solution for axially symmetric domain

Abstract

The article considers the non-stationary initial-boundary problem of thermal conductivity in axially symmetric domain in Minkowski space, formulated as equivalent boundary integral equation. Using the representation of the solution in the form of a Fourier series expansion, the problem is reformulated as an infinite system of two-dimensional singular integral equations regarding expansion coefficients. The paper presents and investigates the explicit form for fundamental solutions used in the integral representation of the solution in the domain and on the border. The obtained results can be used in the construction of efficient numerical boundary element method for estimation of structures behavior under the influence of intense thermal loads in real-time.

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Author Biographies

Grigoriy Zrazhevsky, Taras Shevchenko National University of Kyiv

Department of Theoretical Mechanics

Vera Zrazhevska, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute

Department of Differential Equations

References

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Published
2017-01-31
How to Cite
Zrazhevsky, G., & Zrazhevska, V. (2017). APPLICATION OF THE METHOD OF BOUNDARY INTEGRAL EQUATIONS FOR NON-STATIONARY PROBLEM OF THERMAL CONDUCTIVITY IN AXIALLY SYMMETRIC DOMAIN. EUREKA: Physics and Engineering, (1), 61-68. https://doi.org/10.21303/2461-4262.2017.00285
Section
Computer Sciences and Mathematics