Abstract
A new algorithm is presented for the numerical solution of linear and non-linear two-point boundary value problems with explicit type of boundary conditions. It is a systematic iterative method which reduces the problem to a corresponding initial value problem. The method has been tested to work for a set of 36 simultaneous differential equations 4 of which were non-linear. Extension of this method for the more complicated case of implicit boundary conditions will be discussed in a separate paper.
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