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PROGRAMMING OF FINITE DIFFERENCE METHODS IN MATLABLONG CHENWe discuss efficient ways of implementing FINITE DIFFERENCE METHODS for solving thePoisson equation on rectangular domains in two and three dimensions. The key is the ma-trix indexing instead of the traditional linear indexing. With such an indexing system, wewill introduce a matrix-free and a tensor product matrix implementation of FINITE INDEXING USING MATRICESGeometrically a 2-D grid is naturally linked to a matrix. When forming the matrixequation, we need to use a linear indexing to transfer this 2-D grid function to a 1-D vectorfunction. We can skip this artificial linear indexing and treat our functionu(x,y)as amatrix functionu(i,j). The multiple subscript indexing to the linear indexing is buildinto the matrix.

PROGRAMMING OF FINITE DIFFERENCE METHODS IN MATLAB LONG CHEN We discuss efficient ways of implementing finite difference methods for solving the Poisson equation on rectangular domains in two and three dimensions. The key is the ma- …

  Programming, Methods, Differences, Matlab, Finite, Programming of finite difference methods in, Programming of finite difference methods in matlab

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