Module 1: Introduction to Finite Difference Method and Fundamentals of CFD
  Lecture 3:
 

Basic Aspects of Finite-Difference Equations

Table 3.1: Difference Approximations for Derivatives





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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.

 

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