Glasnik matematički, Vol. 37 No. 2, 2002.
Original scientific paper
Spline collocation method for singular perturbation problem
Mirjana Stojanović
Abstract
We introduce piecewise interpolating polynomials as an approximation for the driving terms in the numerical solution of the singularly perturbed differential equation. In this way we obtain the difference scheme which is second order accurate in uniform norm. We verify the convergence rate of presented scheme by numerical experiments.
Keywords
Singularly perturbed self-adjoint problem; interpolating splines; collocation method; uniform convergence in a small parameter
Hrčak ID:
4807
URI
Publication date:
1.12.2002.
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