Abstract
The general Boundary Element Method (BEM) for strongly non-linear problems proposed by Liao (1995) is further applied to solve a two-dimensional unsteady non-linear heat transfer problem in the time domain, governed by the hyperbolic heat conduction equation (HHCE) with the temperature-dependent thermal conductivity coefficients which are different in the x and y directions. This paper confirms that the general BEM can be used to solve even those non-linear unsteady heat transfer problems whose governing equations do not contain any linear terms in spatial domain.
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Liao, S. General boundary element method for non-linear heat transfer problems governed by hyperbolic heat conduction equation. Computational Mechanics 20, 397–406 (1997). https://doi.org/10.1007/s004660050260
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DOI: https://doi.org/10.1007/s004660050260