A finite difference scheme on nonuniform grids

Abstract

In the present work, we introduce a finite difference scheme on an nonuniform grid. The truncation errors introduced by the use of this difference scheme is presented. It is shown that the numerical solution in the physical domain on nonuniform grids has some advantages. Finally, we solve some boundary value problems using the introduced scheme and compare the obtained results with that obtained on an uniform grid.

Keywords:

• Finite differences
• Error estimation
• Nonuniform grid

1991 AMS Subject Classification Codes::

• 65L12
• 65M06

C.R. Category::

• G.1.8