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, Volume 20, Issue 2, pp 223232
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On the use of splines for the numerical solution of nonlinear twopoint boundary value problems
 R. P. TewarsonAffiliated withApplied Mathematics and Statistics Department, State University of new York at Stony Brook
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Cubic splines on splines and quintic spline interpolations are used to approximate the derivative terms in a highly accurate scheme for the numerical solution of twopoint boundary value problems. The storage requirement is essentially the same as for the usual trapezoidal rule but the local accuracy is improved fromO(h ^{3}) to eitherO(h ^{6}) orO(h ^{7}), whereh is the net size. The use of splines leads to solutions that reflect the smoothness of the slopes of the differential equations.
 Title
 On the use of splines for the numerical solution of nonlinear twopoint boundary value problems
 Journal

BIT Numerical Mathematics
Volume 20, Issue 2 , pp 223232
 Cover Date
 198006
 DOI
 10.1007/BF01933195
 Print ISSN
 00063835
 Online ISSN
 15729125
 Publisher
 Kluwer Academic Publishers
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 Authors

 R. P. Tewarson ^{(1)}
 Author Affiliations

 1. Applied Mathematics and Statistics Department, State University of new York at Stony Brook, 11794, N.Y., USA