The model equations are solved using an implicit finite difference method and a Newton Raphson algorithm53.
The governing equations are solved using an implicit finite volume method for the given boundary conditions.
For this purpose, as indoor design temperature is increasing from 18 to 26 °C, the transmission loads are calculated using an implicit finite difference method under steady periodic conditions.
Concentrating on a rotating sphere with fluid injection/suction at the wall, the uniquely transformed boundary-layer equations are solved using an implicit finite difference method.
This is accomplished using an implicit finite difference (FD) scheme for the wave equation and solving an elliptic (modified Helmholtz) equation at each time step with fourth order spatial accuracy by the method of difference potentials (MDP).
Considering a small volume of uniform temperature, the back-diffusion equations in the primary solid phase are solved in a 1-dimensional configuration using an implicit finite difference formulation with a Landau transformation onto a fixed [0,1] interval.
Numerical solutions calculated using an implicit finite difference scheme indicate that the grain shrinks and disappears in finite time, no non-trivial limiting motion is seen, and there is no pinning of the grain boundary that might be associated with so-called "jerky" motion.
The governing partial differential equations are transformed to a non similar form by introducing appropriate transformations and are solved numerically using an implicit finite difference scheme.
Ganesan and Palani (2004) have obtained the numerical solution for an unsteady free convection flow of a dusty gas past a semi-infinite inclined plate with constant heat flux using an implicit finite difference method.
The approach consists of calculating the fields within a volume using an implicit finite-difference frequency-domain formulation.
