Question

Matlab Matlab Matlab Matlab, Please solve this problem

Problem 4 : Runge's phenomenon For this proble, you wil interpolate the function h(x) = tanh(10x) in I [a, b, through n datapoints (xi, hx with equidistant nodes for several values of n, and observe the behavior of the interpolating polynomial as n increases. You should use the pair of functions polyfit and polyval In your prob40: (a) Interpolate the function tanh(10x) in [-1,1] using a uniform grid of n nodes, where n is 5, 15,25 or 35 For each value of n, generate a plot with the following the graph of h(x) in [-1,1) the datapoints(xi, hx1 (as points) the interpolating polynomial of degree at most n 1 that interpolates the datapoints in[-1,1] Use subplot to present all axes in the same figure window. You can use the following guide: for n-5:10:35 % define x and y, the datapoints % find interpolating polynomial subplot (2, 2 , 0 . 1 *n+0。5) ; % plot the graph for current value of n (b) Is Runge's phenomenon present for this function and choice of nodes? Give your answer in a block of comments. Justify your answer based on the plots you created

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

close all
clear all
clc
for n=5:10:35
x=linspace(-1,1,n);
y=tanh(10*x);
C=polyfit(x,y,n-1);
subplot(2,2,0.1*n+0.5)
xx=-1:0.01:1;
yy=polyval(C,xx);
plot(xx,yy);
end

, Figure 1 File Edit View srt Iools Desktop Window Help 1.5 0.5 -0.5 1.5 -1 08 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 .2 -1 -08 0.6 -0.4 0.2 0 0.2 0.4 0.6 0.8 200 100 0.5 100 0.5 200 -1 08 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1.5 -1 -08 0.6 -0.4 0.2 0 0.2 0.4 0.6 0.8 O Type here to search ^徊 dx ENG 1:19 PM IN 04/14/19

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