Collocation With Polynomial And Taut Splines For Singularly Perturbed Boundary Value Problems
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Collocation with Polynomial and Taut Splines for Singularly Perturbed Boundary Value Problems
Collocation methods using both cubic polynomials and splines in tension are developed for second order linear singularly-perturbed two-point boundary value problems. Rules are developed for selecting tension parameters and collocation points. The methods converge outside of boundary layer regions without the necessity of using a fine discretization. Numerical examples comparing the methods are presented. (Author).
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