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Use Taylor series to show that the truncation error for the Yee’s FDTD method

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mikeyw88

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Use Taylor series to show that the truncation error for the Yee’s FDTD method in a one-dimensional staggered grid is O(Δt2)in time and O(Δx2)in space.
 

You can ask for help about your homework but the intension of this is to help you do your homework rather than do the homework for you.
What exactly is your question and what have you done so far?

Alex
 

You can ask for help about your homework but the intension of this is to help you do your homework rather than do the homework for you.
What exactly is your question and what have you done so far?

Alex

untitled.png

I believe this is the expansion but what more am I supposed to show?
 

You could start by actually stating "Yee’s FDTD method in a one-dimensional staggered grid". And then calculating the error term using appropriately truncated Taylor series.
 
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