Question

✓ 4. Derive an order h2 accurate one-sided finite difference approximation to the first derivative dø/dx at the point x = tj. Suppose that the numerical solution di is available at the set of points {C;} and assume constant grid spacing, i.e. h = i+1 - Ti is the same for all i. The derivative must be calculated using ; and only points to its left (i.e. Xj, 2j-1, *;-2, ... use as many as you need). Hint: assume that aid; + 2203-1 + 230;-2+... is the numerical approximation to do/dx and calculate the appropriate ai.

Answer 1