Use the linear basis functions 54 to approximate the

Question

Linear Basis Function Expansion

Use the linear basis functions (5.4) to approximate the function s² exp [s^-2] in the domain [-3,3]. Begin with nodes at (-3,-2,-1, 0,1, 2,3). Discretize the s -space with intervals of length 0.1 -i.e., (-3.0,-2.9,-2.8,...) -and approximate the function at these points. Choose more nodes at more discrete points and see how the fit improves. Provide graphs similar to those in Figures 5-4 and 5-5.