Central difference approximation

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The discussion revolves around finding the expressions for the central difference approximation of the first and second derivatives on a non-uniform grid. It is suggested that the derivation for non-uniform grids should resemble that of uniform grids. Participants are encouraged to share their differential equations for further assistance. The conversation highlights the need for clarity in applying central difference methods in varying grid scenarios. Overall, the focus is on deriving accurate approximations for non-uniform grids.
hermano
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Hi,

Where can I find the expression of the central difference approximation of the first and second derrivative (spatial) for a NON uniform grid?
 
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Hi,
I think the derivation in the case of non uniform grid should be similar as in the case of the uniform grid.

Write down your differential equation, I will try to help you.
 

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