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

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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.

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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 411–417, April, 1994.

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Strygin, V.V., Blatov, I.A. & Pokornaya, I.Y. Collocation method for solving singularly perturbed boundary-value problems by using cubic splines. Ukr Math J 46, 433–440 (1994). https://doi.org/10.1007/BF01060413

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Keywords

  • Boundary Layer
  • Approximate Solution
  • Collocation Method
  • Nonuniform Mesh
  • Minimal Defect