The Dirichlet difference problem for Poissons equation

We now turn to the design of difference schemes for solving the Dirichlet problem in which it is required to find a continuous in G-f P function ii x) 

Marcel Dekker, Inc. 270 Madison Avenue. New York, New Yoik 10016 

The difference approximation of the Laplace operator. We begin by defining a difference analog of the Laplace operator in the plane x = 

The operators- Ai and A2 are specified on the regular three-point patterns 

The next step is to calculate the error of approximation of the Laplace operator (2) by the difference operator (5). Since for a = 1,2 

Approximation of the Laplace operator on an irregular cross pattern. 

---