Eskilson (1987) calculated g-functions using two-dimensional transient

finite-difference equations on a radial-axial coordinate system for a single borehole in homogeneous ground.

High-accuracy finite-difference equations for dielectric waveguide analysis I: Uniform regions and dielectric interfaces," Journal of Lightwave Technology, Vol.

High-accuracy finite-difference equations for dielectric waveguide analysis II: Dielectric corners," Journal of Lightwave Technology, Vol.

The finite-difference equations written for cells lying at the TF/SF interface contain both TF and SF quantities.

Some finite-difference equations written in the SF regions contain TF terms.

A set of

finite-difference equations written about each mesh point in a column for the equation (7) as shown:

of British Columbia-Vancouver) explains how to use Lie groups with

finite-difference equations, meshes, and difference functionals, for practitioners, researchers, and graduate students in applied mathematics, physics, mechanics, and engineering.

The computations of U, V, T and C at time level (n +1) using the values at previous time level (n) are carried out as follows: The

finite-difference equations (15) and (18) at every internal nodal point on a particular i-level constitute a tridiagonal system of equations.

For dry coils, the implicit

finite-difference equations are linear and the method does not require iteration for state variables within each row.

Then it is divided into a number of control volumes along the airstream, and the one-dimensional differential equations are converted into

finite-difference equations within each control volume.

In the

finite-difference equations, the first subscript, i, denotes the region of the die, and the second subscript, j, represents the nodal position.

The computations of U, V, T and C at time level (n + 1) using the values at previous time level (n) are carried out as follows: The

finite-difference equations (14), (17), (18) and (21) at every internal nodal point on a particular i-level constitute a tridiagonal system of equations.