Abstract
The theory of generalized Fourier Series can be applied to the approximation of linear operator relationships. To demonstrate the computational results in using this approach several example problems where analytic solutions or quasi-analytic solutions exist are used for the testing the generalized Fourier Series technique. Applications include two-dimensional problems involving the Laplace and Poisson equations, tests for variation in results due to inner product weighting factors, and application to nonhomogeneous domain problems.
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