A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines (CROSBI ID 87526)
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Marušić, Miljenko
engleski
A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines
The collocation tension spline is considered as a numerical solution of a singularly perturbed two-point boundary value problem: epsilony " + by' + cy = f. The collocation points are chosen as a generalization of the classical Gaussian points. Unlike the traditional approach, we employ the B-spline representation in the analysis. This leads to global quadratic convergence of the method for small perturbation parameters, and, for large values, the order of convergence is four.
collocation; singular BVP; B-spline; Gaussian points
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