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We have seen in the foregoing discussion that it is possible to approximate the exact solution u of eq. (1.5) without knowing u when . In this section the formulation is outlined for other boundary conditions.

The generalized formulation outlined in this section is the most widely implemented formulation; however, it is only one of several possible formulations. It has the properties of stability and consistency. For a discussion on the requirements of stability and consistency in numerical approximation we refer to [5].