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A collocation method for boundary value problems
Authors:R. D. Russell  L. F. Shampine
Affiliation:(1) Colorado State University, 80521 Fort Collins, Colorado, USA
Abstract:Collocation with piecewise polynomial functions is developed as a method for solving two-point boundary value problems. Convergence is shown for a general class of linear problems and a rather broad class of nonlinear problems. Some computational examples are presented to illustrate the wide applicability and efficiency of the procedure.
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