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3. Use Taylor series expansions to determine the error in the approxima- u(t+3h)-3u(t+2h)+3u(t+h)-u(t) h3 tion u"(t) 2 uG+3h)=u+3hu't(36j2 ull + (34Ý u"'s (34)" %3D 24 -3 uk+26) =u+2hu' +(262 u" f of to u (fth) =uthul a u" (36) num = 24 %3D Dind 4 R u.hioh meke +he opproximotin

3. Use Taylor series expansions to determine the error in the approxima- u(t+3h)-3u(t+2h)+3u(t+h)-u(t) h3 tion u"(t) 2 uG+3h)=u+3hu't(36j2 ull + (34Ý u"'s (34)" %3D 24 -3 uk+26) =u+2hu' +(262 u" f of to u (fth) =uthul a u" (36) num = 24 %3D Dind 4 R u.hioh meke +he opproximotin

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Use Taylor series expansions to determine the error in the approxima- tion u"(t) 2 u(t+3h)-3u(t+2h)+3u(t+h)-u(t) uG+3h)=u+ 3hu't(36j2 ull + (34P u"'s (34)" 24 -3 uk+26) =u+2hu' +(262 u" + of to 3 u (tth) =uthul a 2 u" (6) + 24 u" (36) num = %3D Dind 4 R ..hioh meke +he opproximotin
Transcribed Image Text:3. Use Taylor series expansions to determine the error in the approxima- tion u"(t) 2 u(t+3h)-3u(t+2h)+3u(t+h)-u(t) uG+3h)=u+ 3hu't(36j2 ull + (34P u"'s (34)" 24 -3 uk+26) =u+2hu' +(262 u" + of to 3 u (tth) =uthul a 2 u" (6) + 24 u" (36) num = %3D Dind 4 R ..hioh meke +he opproximotin
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