Some Uniformly Convergent Spline Difference Schemes for Singularly Parturbed Boundary Value Problems |
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Authors: | SURLA, K. UZELAC, Z. |
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Affiliation: | Institute of Methematics, Dr. I. Djuriia, 21000 Novi Sad, Yugoslavia |
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Abstract: | In this paper some difference schemes for singularly perturbedtwo-point boundary value problems are derived using cubic splinesv(x) 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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