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Prove tht the fallowing ralt U(1-k)-2U(t) + U(t + k) U" (t) =- with an enor of ortler k?, which is called certral differerce approximation to the sccond derivative of U(t)

Prove tht the fallowing ralt U(1-k)-2U(t) + U(t + k) U" (t) =- with an enor of ortler k?, which is called certral differerce approximation to the sccond derivative of U(t)

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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Prove that the fallowing result U(L-k)-2U(t)+ U(t + k) U"(t) = with an enor of ortler k2, which is called certral difference approximation to the sccond derivative of U(t)
Transcribed Image Text:Prove that the fallowing result U(L-k)-2U(t)+ U(t + k) U"(t) = with an enor of ortler k2, which is called certral difference approximation to the sccond derivative of U(t)
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