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Spline collocation method for singular perturbation problem

Mirjana Stojanović


Puni tekst: engleski pdf 303 Kb

str. 393-403

preuzimanja: 747

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Sažetak

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.

Ključne riječi

Singularly perturbed self-adjoint problem; interpolating splines; collocation method; uniform convergence in a small parameter

Hrčak ID:

4807

URI

https://hrcak.srce.hr/4807

Datum izdavanja:

1.12.2002.

Posjeta: 1.505 *