A collocation method for boundary value problems |
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Authors: | R. D. Russell L. F. Shampine |
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Affiliation: | (1) Colorado State University, 80521 Fort Collins, Colorado, USA |
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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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