Numerical Solution of Singular Two Point BVPs
نویسنده
چکیده
An algorithm is described for the efficient numerical solution of singular two-point boundary value problems. The algorithm is based on collocation at Gauss points, is applied directly to second order equations and uses a transformation of the independent variable to obtain extra smoothness if needed. Numerical comparisons between a code based on this approach and codes based on other options which have previously been thought of as possible alternatives such as collocation at Lobatto points or reduction to a first order system, are made and the efficiency of the new approach is clearly demonstrated by numerical results.
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