Error plotting with space and time
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I do not understand how to plot/visualize a solution to some function with different time and space steps. I have the below function handle and I need to plot the exact solution to approximate the the error in the approximate solution. Can someone please explain the most efficient method of doing this? I have not calculted the approximation yet, but it will be in a 2x2 array format, please also elaborate on plotting the error.
exact = @(t,x) exp(-(x-0.4).^2/(2*alphat + 1/sigma))/sqrt(sigma*alpha*t+3);
% How to approach an error analysis/plot?
%I understand it is the delta detween exact and approx at the points in question
% I just need a cleaner/efficient way of doing this
Image Analyst on 17 May 2020
There are a number of errors there. Not exactly sure what you want, but is this closer?
exact = @(t,x) exp(-(x-0.4).^2 ./(2*alpha * t + 1/sigma)) ./ sqrt(sigma*alpha.*t+3);
[t2, x2] = meshgrid(t1, x1);
output = exact(t2,x2)