How can I present time variant equation in Matlab

How can I present time variant equation in Matlab

for example it F(x)=x^2+3x+4

how to present F(x,t)

[KSSV]

There is no t in the equation, how you want to present? Is x dependent on t?

[Adham Ahmed]

what about Z(f(x),t)?

[Dyuman Joshi]

It will be best if you show us an example.

Also, explicitly specify what you mean by 'to present'.

[Adham Ahmed]

How about Z=(f(x),t)

[Dyuman Joshi]

Give an example for Z as a function of f(x) and t, and once again, explicitly specify what you mean by 'to present'.

Answer 1

[Piyush Patil]

Hello Adham,

I am assuming that you want to define a function of type – z(f(x), t).

So here, you are having a function ‘z’ that depends on f(x) and t. You can represent ‘z’ using an anonymous function with two input arguments – x and t.

Let’s consider an example –

z(f(x), t) = f(x)*t + t^2

and

f(x) = x^2 + 3*x + 4

You can define z and f as follows -

% Define the function f(x)
f = @(x) x^2 + 3*x + 4

% Define the function z(f(x), t)
z = @(x, t) t*f(x) + t^2;

% Evaluate the function Z at x = 2 and t = 3
z(2,3)

You may refer to the following link to know about the usage of anonymous functions - Anonymous Functions