Question: 6.2 Finite Difference Methods 489 We find c =- - for the local error DE 2-}()?u in backward Euler: (ar um + (22 ) arw

6.2 Finite Difference Methods 489 We find c =- -

6.2 Finite Difference Methods 489 We find c =- - for the local error DE 2-}()?u" in backward Euler: (ar um + (22 ) arw + Aru!)~- This shows no error when u is linear and u" is zero (Euler's approximation of constant (un+ Un) At un +1 ~ (A1) 2 slope becomes true). For u' = u with uo 1, find the exact error in ui. 6.2 Finite Difference Methods 489 We find c =- - for the local error DE 2-}()?u" in backward Euler: (ar um + (22 ) arw + Aru!)~- This shows no error when u is linear and u" is zero (Euler's approximation of constant (un+ Un) At un +1 ~ (A1) 2 slope becomes true). For u' = u with uo 1, find the exact error in ui

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