Abstract. Two singular perturbation problems were considered: One with multiple boundary layers and one with interior layers. Numerical schemes were developed from the improved a'priori bounds. With a constant number of layer adapted grid points, numerical accuracy was maintained at the same level for a family of singular perturbation problems.

Received: October 4, 2012

AMS Subject Classification: 65N12, 32E25

Key Words and Phrases: singular perturbation, differential equations, boundary layers, interior layers, numerical solutions, stability

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