Basic Aspects of Finite-Difference Equations
Table 3.1: Difference Approximations for Derivatives
Table 3.2: Difference Approximations for Derivatives
With respect to Eq. (3.5), it can be said that as and the truncation error approach zero.
Hence, in the limiting case, the difference equation also approaches the original differential equation. Under such circumstances, the finite difference representation of the partial differential equation is said to be consistent.
Congratulations! You have finished Lecture 3. To view the next lecture select it from the left hand side menu of the page or click the next button.
|