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

Grigoriy Zrazhevsky, Vera Zrazhevska

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.


Keywords


initial-boundary problem of thermal conductivity; boundary integral equation; axially symmetric domain; fundamental solution for axially symmetric domain

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References


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DOI: http://dx.doi.org/10.21303/2461-4262.2017.00285

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Copyright (c) 2017 Grigoriy Zrazhevsky, Vera Zrazhevska

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ISSN 2461-4262 (Online), ISSN 2461-4254 (Print)