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4.2 The Finite Difference Method     continued...

The finite difference representation of (1) is:

or, equivalently,

If we define the vector to be to designate the unknown grid values, and pull out all the known information from (30), we can reformulate (1) by its finite difference approximation in the form of the matrix equation, , where is a vector which contains the sources and modifications due to the Dirichlet boundary condition.