This article is cited in 7 papers

Fourth order accuracy collocation method for singularly perturbed boundary value problems

I. A. Blatov, V. V. Strygin


Abstract: It is well known that, for nonrigid boundary value problems, the collocation method basing on the use of cubic splines gives schemata up to fourth order precision with respect to grid size $h$. We show that collocation schemata of fourth order, converging uniformly with respect to a small parameter, can be constructed for singularly perturbed problems as well. For their construction, we use N. S. Bakhvalov optimal grids and cubic splines of mixed defect.

UDC: 519.62

Received: 13.07.1990

 English version: Siberian Mathematical Journal, 1993, 34:1, 10–24

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