How to code erf(z) summation series?
2 views (last 30 days)
Show older comments
2 Comments
Torsten
on 26 May 2021
Please insert the code you have so far.
If you did not start yet, make an attempt.
Accepted Answer
Torsten
on 27 May 2021
Edited: Torsten
on 27 May 2021
function main
z = [0.1 0.5 1 2];
for i=1:numel(z)
[erfc1(i),n(i)] = myerfc1(z(i));
end
erfc_matlab = erfc(z);
X = [z.',erfc1.',n.',erfc_matlab.'];
disp(X)
end
function [erfc1,n] = myerfc1(z)
erf1 = 0.0,
term = z;
n = 0;
while abs(term) >= eps
erf1 = erf1 + term;
n = n+1;
term = term * (-1)/n * z^2 * (2*n-1)/(2*n+1);
end
erf1 = erf1 * 2/sqrt(pi);
erfc1 = 1-erf1;
end
12 Comments
More Answers (1)
Sulaymon Eshkabilov
on 27 May 2021
Hi,
Here is the corrected code:
clearvars; clc; close all
N0 = zeros(1,21); %preallocate array for solutions of 1-erf(z)
fh = @(z) 1-erf(z); %create function handle for 1-erf(z)
z = 0:0.1:2; %array of z values stepping in 0.1 to 2
for ii=1:20%loop counter
while(abs(N0(ii+1)) < eps(N0(ii))) %loop condition
N0(ii+1) = N0(ii)+fh(z(ii+1)) ; %sum series
end
end
plot(N0, z) %plot graph
z2 = [0.1 0.5 1 2] %values for erfc(z2)
errgraph=erfc(z2) %errgraph function
hold %place lines on same plot
plot(errgraph) %plot graph on same plot to see convergence
See Also
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!