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Application of Dual Integral Equations in Heat Equation for Unbounded Plate

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Journal of Engineering Physics and Thermophysics Aims and scope

An analytical solution to a two-dimensional nonstationary nonhomogeneous heat equation in axially symmetrical cylindrical coordinates for an unbounded plate subjected to mixed boundary conditions of the first and second kinds has been obtained. The application of the Laplace transform (L-transform) and the separation of variables result in the solution to the initial mixed boundary-value problem as the solution to a pair of dual integral equations (DIEs) with an unknown function dependent on the L-transform parameter. The DIEs solution is proposed by using the known discontinuous integrals and an infinite series method. The Green’s function is used to determine the solution to the nonhomogeneous part of the problem.

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Authors and Affiliations

  1. Department of Mathematics, Tafila Technical University, Tafila, Jordan

    N. A. Hoshan

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  1. N. A. Hoshan
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Correspondence to N. A. Hoshan.

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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 3, pp. 648–653, May–June, 2019.

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Hoshan, N.A. Application of Dual Integral Equations in Heat Equation for Unbounded Plate. J Eng Phys Thermophy 92, 625–630 (2019). https://doi.org/10.1007/s10891-019-01971-1

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  • DOI: https://doi.org/10.1007/s10891-019-01971-1

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