When a=3

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When a=3.5, b=1.8, c=1.5, d=1.25, x=0.6

A variable u is a function of x. A second order accurate finite difference approximation for ∂u/∂x at x = x_i is:

(Equation 2.1) = (????????/????????_????) = ((????_????+1) − (????_????−1))/2????????

where ?x denotes the increment between points x_i-1, x_i, x_i+1 etc.

For the function: ???? = ????????????????(????????)  + ????????????^????????

where a, b, c, d, x should be chosen according to your case in above:

1. Estimate ∂u/∂x using Equation (2.1) for ?x = 0.01 and ?x = 0.02.