2. Find A, B, C such that the approximation(u'ft) = is as high order as possible. Au(t)+Bu(t-h)+Cu(t-2h)

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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2. Find A, B, C such that the approximation(u(t).
is as high order as possible.
Au(t)+Bu(t-h)+Cu(t-2h)
(ArB+C=o
-8-2C = 1
B+4 C =0
て-そ
B = -2
A =
A
ヤ…
c ult-zh)=u-2u'h +4u"h
A+B+c)u +(-8-20) u'h + B+4C)u"
%3D
3. Find A,r which make the appróximation
%3D
Transcribed Image Text:2. Find A, B, C such that the approximation(u(t). is as high order as possible. Au(t)+Bu(t-h)+Cu(t-2h) (ArB+C=o -8-2C = 1 B+4 C =0 て-そ B = -2 A = A ヤ… c ult-zh)=u-2u'h +4u"h A+B+c)u +(-8-20) u'h + B+4C)u" %3D 3. Find A,r which make the appróximation %3D
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