Equation Icon  ( ( ) | 24 59 4 3 |||| − ---u0 + --u1 − --u2 − ---u3 for i = 0, ||| ( 17 34) 17 34 ||| − 1-u0 + 1u2 for i = 1, |||| ( 2 2 ) ||| 4-- 59- 59- 4-- ||| 43u0 − 86 u1 + 86u3 − 43u4 for i = 2, |||| ( 3 59 32 4 ) ||| --u0 − ---u2 + --u4 − --u5 for i = 3, ||| 98 98 49 49 |||{ ( ) -1-- 1-- 2- 2- 1-- D4−2ui = Δx | 12ui−2 − 3ui−1 + 3 ui+1 − 12ui+2 for i = 4...(N − 4), (8.31 ) |||| ||| ( ) ||| − 3-uN − 59uN −2 + 32-uN −4 − 4-uN −5 for i = N − 3, |||| ( 98 98 49 49 ) ||| 4-- 59- 59- 4-- ||| − 43uN − 86uN −1 + 86 uN −3 − 43uN −4 for i = N − 2, |||| ( 1 1 ) ||| − − --uN + -uN −2 for i = N − 1, ||| ( 2 2 ) |||( − − 24-u + 59u − -4-u − 3-u for i = N , 17 N 34 N−1 17 N− 2 34 N −3