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How to define finite difference approximation for first order derivative

I need to define

$y1(k)=\frac{y_{k+1}-y_{k-1}}{2*h}$

in sage so that sage can differ between symbolic yk+1 and yk.

Would somebody please help?

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How to define finite difference approximation for first order derivative

I need to definedefine y1(k)=yk+1yk12h

$y1(k)=\frac{y_{k+1}-y_{k-1}}{2*h}$

in sage so that sage can differ between symbolic yk+1 and yk.

Would somebody please help?

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updated 2 years ago

FrédéricC gravatar image

How to define finite difference approximation for first order derivative

I need to define y1(k)=yk+1yk12h

in sage so that sage can differ between symbolic yk+1 and yk.

Would somebody please help?