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Crank-Nicolson Truncation Error

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Old   January 5, 2015, 14:01
Question Crank-Nicolson Truncation Error
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Hi,
I need to find Crank-Nicolson method's truncation error. I have the answer as below



and I know that I should start from here:



and use Taylor expansion, but no matter how I expand them, I don't get the same result. there are always some more terms in my answer. can anyone help me?
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