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Some Uniformly Convergent Spline Difference Schemes for Singularly Parturbed Boundary Value Problems
Authors:SURLA, K.   UZELAC, Z.
Affiliation:Institute of Methematics, Dr. I. Djuri"c"i"c"a, 21000 Novi Sad, Yugoslavia
Abstract:In this paper some difference schemes for singularly perturbedtwo-point boundary value problems are derived using cubic splinesv(x) {varepsilon} C1[0,1]. One of them is the well-known Allen-Southwell-Il'inscheme. These schemes are first-order uniformly convergent.Numerical examples support the theoretical results.
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