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The dual integral equation method for solving the heat conduction equation for an unbounded plate

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The solution of the two-dimensional nonstationary heat conduction equation in axially symmetrical cylindrical coordinates for an unbounded plate is determined in this paper. A solution of the problem is given in the form of functional series, for which every term of a series represents an unknown function of a second kind integral equation. A new type of dual integral equations is used to solve a given boundary-value problem with the help of a Laplace transform and separation of variables.

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

    Nasser A. Hoshan

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  1. Nasser A. Hoshan
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Correspondence to Nasser A. Hoshan.

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Hoshan, N.A. The dual integral equation method for solving the heat conduction equation for an unbounded plate. Comput Math Model 21, 226–238 (2010). https://doi.org/10.1007/s10598-010-9067-5

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  • DOI: https://doi.org/10.1007/s10598-010-9067-5

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