For the given coordinate transformation, develop the second order finite difference approximations of uy, uxx, and uxy a

[answerhappygod]

For the given coordinate transformation, develop the second
order finite difference
approximations of uy, uxx, and uxy at (ξi, ηj). Apply central
differences for discretization of
derivatives with respect to ξ and η.
ξ = ξ(x, y, t), η = η(x, y, t)
and x = x(ξ, η, t), y = y(ξ, η, t)