Differential Equations Lecture Work Solutions 315

Differential Equations Lecture Work Solutions 315 - Write...

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Write the system of equations resulting from step 1 with i = j =2and i =3 ,j =2 u n +1 / 2 22 = u n +1 / 2 32 2 u n +1 / 2 + 1 2 + 2 3 u n +1 / 2 = 2 u n +1 / 2 + u n +1 / 2 + 1 3 3 1 13 u n +1 / 2 u n +1 / 2 = 7 6 1 3 The solution is u n +1 / 2 u n +1 / 2 = 23 48 13 48 For step 2 with i = j u n +1 23 48 = 13 48 2 23 48 ± + 1 2
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