Question: Derive an order h2 accurate one-sided finite difference approximation to the first derivative d/da at the point x iis available at the set of
Derive an order h2 accurate one-sided finite difference approximation to the first derivative d/da at the point x iis available at the set of points x} and assume constant grid spacing, i.e h j. Suppose that the numerical solution i is the same for all . The derivative must be calculated using x Xi+1 and only points to its left (i.e. rj, Cj-1, -2,use as many as you need) Hint: assume that a,, + a2-1 + -2 +:.. h is the numerical approximation to do/da and calculate the appropriate a
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