Numerical solution of singularly perturbed two-point boundary value problems by spline in tension

Authors:
Mohan K. Kadalbajoo;Kailash C. Patidar
Affiliations:
Department of Mathematics, Indian Institute of Technology, Kanpur 208 016, India;Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

Some difference schemes for singularly perturbed two-point boundary value problems are derived using spline in tension. These schemes are second-order accurate. Numerical examples are given in support of the theoretical results.