Anonymous function in MATLAB

Question

I want to write the following anonymous function in MATLAB.

I have a piecewise function. I want to turn this into a single expression. How can this be accomplished in MATLAB ?

$$f(x,t) = \begin{cases} 20e^{-4x^2} & \text{if $0 \leq t \leq T/2,$} \\ 0 & \text{otherwise.} \end{cases}$$

cfdlab · Answer 1 · 2020-11-13T03:19:27.510

4

T = 1.0;
f = @(x,t) (0 <= t & t <= T/2)*20*exp(-4*x.^2) + 0.0;
x = linspace(0,1,100);
plot(x, f(x,T/4), x, f(x,T))
legend('t=T/4','t=T')

edited Nov 13 '20 at 03:19

answered Nov 10 '20 at 06:29

cfdlab

How can you initialise T to be 1 ? T can be anything. – Nov 10 '20 at 06:35
Set T to whatever you want. I just gave an example. – cfdlab Nov 10 '20 at 06:47
6

To enable vectorization with respect to t, you'll need f = @(x,t) (0 <= t & t <= T/2)*20*exp(-4*x.^2) + 0.0;, that is, logical and without short-circuiting (& instead of &&). – cos_theta Nov 10 '20 at 13:24
@cos_theta Thanks I didnt know this, I updated the answer. – cfdlab Nov 13 '20 at 03:19

1 Answers1