For the coordinate transformation (12 1) and (12 2), develop the second order finite difference approximations of (u y , u x x ), and (u x y ) at ( left( xi i , eta j ight) ) Apply central differences for discretization of derivatives with respect to ( xi ) and ( eta ) ...

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For the coordinate transformation (12.1) and (12.2), develop the second-order finite difference approximations of (u_{y}, u_{x x}),

Question:

For the coordinate transformation (12.1) and (12.2), develop the second-order finite difference approximations of \(u_{y}, u_{x x}\), and \(u_{x y}\) at \(\left(\xi_{i}, \eta_{j}\right)\). Apply central differences for discretization of derivatives with respect to \(\xi\) and \(\eta\).

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