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A fourth-order cubic spline method for linear second-order two-point boundary-value problems

โœ Scribed by SLOAN, IAN H.; TRAN, DAT; FAIRWEATHER, GRAEME

Book ID
118055242
Publisher
Oxford University Press
Year
1993
Tongue
English
Weight
658 KB
Volume
13
Category
Article
ISSN
0272-4979

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A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically