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A Crank–Nicolson orthogonal spline collocation method for vibration problems

✍ Scribed by Bingkun Li; Graeme Fairweather; Bernard Bialecki

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
85 KB
Volume
33
Category
Article
ISSN
0168-9274

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✦ Synopsis

A discrete-time orthogonal spline collocation scheme is formulated and analyzed for a problem governing the transverse vibrations of a clamped square plate. The problem is reformulated as a Schrödinger-type system which is then approximated by a Crank-Nicolson orthogonal spline collocation scheme. This scheme is shown to be second-order accurate in time and of optimal order accuracy in space in the H 1 -and H 2 -norms.

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