Title :
An improved finite-difference approximation to the diffusion equation
Author_Institution :
U.S. Department of the Interior, Geological Survey, Denver, CO
fDate :
7/1/1982 12:00:00 AM
Abstract :
A higher order approximation to field quantities than the piecewise constant approximation commonly used and implicit in the second-order central difference approximation to the Helmholtz equation is described. The continuous finite-difference (CFD) approximation results in reduced error without an increase in complexity of the associated computational algorithm.
Keywords :
Approximation algorithms; Computational fluid dynamics; Conductivity; Difference equations; Electromagnetic fields; Finite difference methods; Integral equations; Magnetic fields; Maxwell equations; Nonhomogeneous media;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1982.12382