The paper is devoted to solving a nonhomogeneous nonstationary heat equation in cylindrical coordinates with a nonaxial symmetry. This equation is subjected to nonhomogeneous, mixed, and discontinuous boundary conditions of the second and third kinds that are specified on the disk of a finite cylinder surface. In fact, the solution of the given problem is obtained by using a new type of dual series equations (DSEs) with a Bessel function of the first kind. In particular, DSEs reduce the problem to a Fredholm integral equation of the second kind which can be solved numerically by several efficient methods.
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 2, pp. 342–347, March–April, 2019.
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Hoshan, N.A., Al-Jarrah, Y.A. & Al-Habahbeh, A.A. Dual Series Method for Solving a Heat Equation with Mixed Boundary Conditions. J Eng Phys Thermophy 92, 326–332 (2019). https://doi.org/10.1007/s10891-019-01936-4
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DOI: https://doi.org/10.1007/s10891-019-01936-4