On 3-5 July, 2013 The World Congress on Engineering took place in London, United Kingdom.
Simmakers took part in the Congress and represented the report:
Quasilinear Heat Equation in Three Dimensions and Stefan Problem in Permafrost Soils in the Frame of Alternating Directions Finite Difference Scheme
Abstract — The quasilinear heat equation with thermal conductivity and heat capacity depending on the temperature field in three spatial dimensions is studied in application to the phase transition problem in permafrost soils. The conditions under which the alternating directions Douglas – Rachford finite difference scheme retains numerical stability are explicitly formulated. The comparison with the known analytical similarity solution to the Stefan problem in one spatial dimension is performed.
Index Terms — quasilinear heat equation, Stefan problem, finite differences, alternating directions scheme, numerical stability.
You can read the original article at the World Congress Engineering web site here