Abstract
In this work, a purely algebraic method for the solution of certain boundary value problems whose differenital equations do not have any singular points in the relevant interval is presented. The method does not use integration at any step and hence has several economical features computation wise. Its convergence can be accelerated either by choosing appropriate basis set or by removing fluctuations. Discussion on convergence, choice of basis set are supported by various results obtained for a simple test problem.
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