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Dual Series Equations to Solve the Laplace Equation with Mixed Boundary Conditions

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Journal of Engineering Physics and Thermophysics Aims and scope

A solution of the Laplace equation in cylindrical coordinates is presented for a bounded cylinder with the known height and radius which is subject to inhomogeneous mixed boundary conditions of the third and second kinds on the surface. On the other surface, unmixed boundary conditions of the first or second kind are given. Through separation of variables, the Hankel integral transform, and the dual series equations, the solution of the mixed problem is reduced to solving the Fredholm integral equation of the second kind.

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Authors and Affiliations

  1. Department of Mathematics, Tafila Technical University, P.O. Box 179, 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. 96, No. 6, pp. 1473–1480, November–December, 2023.

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Hoshan, N.A. Dual Series Equations to Solve the Laplace Equation with Mixed Boundary Conditions. J Eng Phys Thermophy 96, 1460–1467 (2023). https://doi.org/10.1007/s10891-023-02814-w

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  • DOI: https://doi.org/10.1007/s10891-023-02814-w

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