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A Diffusion Problem

Observe a very important difference compared to the Jacobi iteration method. When using spectral method the discretisation does not take place in physical space and/or time. The solution whether exact or approximate is perfectly continuous in space and time. On the other hand even an exact solution is always discretised in the power space, i.e., in k and j. It is discretised, but not finite. We have to truncate the power series in order to obtain a numerical solution. This is where the approximation comes in.


next up previous index
Next: The Eigenvalue Problem Up: Spectral Methods Previous: Spectral Methods
Zdzislaw Meglicki
2001-02-26