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The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem

✍ Scribed by K. Surla; Z. Uzelac; Lj. Teofanov

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
207 KB
Volume
79
Category
Article
ISSN
0378-4754

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✦ Synopsis

We consider a singularly perturbed boundary value problem with two small parameters. The problem is numerically treated by a quadratic spline collocation method. The suitable choice of collocation points provides the discrete minimum principle. Error bounds for the numerical approximations are established. Numerical results give justification of the parameter-uniform convergence of the numerical approximations.

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