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

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.

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Bibliographische Detailangaben
Datum:1994
Hauptverfasser: Blatov, I. A., Pokornaya, I. Yu., Strygin, V. V., Блатов, Н. А., Покорная, И. Ю., Стрыгин, В. В.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5738
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung: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.