2017
Том 69
№ 9

All Issues

Collocation method for solving singularly perturbed boundary-value problems by using cubic splines

Blatov I. A., Pokornaya I. Yu., Strygin V. V.

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Abstract

We consider singularly perturbed boundary-value problems in the case of boundary layers. To find approximate solutions of these problems, we use a collocation method based on cubic splines of minimal defect on nonuniform meshes.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 433-440.

Citation Example: Blatov I. A., Pokornaya I. Yu., Strygin V. V. Collocation method for solving singularly perturbed boundary-value problems by using cubic splines // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 411–417.

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