in the case of infinite number with many variable and plot

clearvars;

syms Amn a b V0 n m x y;

a=10;

b=5;

assume(m,{'positive','integer'});

assume(n,{'positive','integer'});

Vo=1.0;

Amn=[[(m*pi/a)^2+(n*pi/b)^2]^-1]*[(-1)^m+n*144*a*b/m*n*pi]*(1-[1/b]*[1-(-1)^n])

V1(x,y)= (4*Vo/pi)*sin(m*pi*x/a)*sinh(n*pi*y/a)/n*sinh(n*pi*b/a);

V2(x,y)=Amn*sin(m*pi*x/a)*sin(n*pi*y/b);

V=V1(x,y)+V2(x,y)

Amn is given parameter and a=10 ,b=5

before i upload this code

i used for loop for n,m buy n,m is infinite number that so the for loop is not stop and i think it is not correct so i deleted it

so i dont know what expression is used for these case

and it is possible to plot it? what is the variation ? i dont know what to fit it for variation ,theres are so many variation so difficult for it

if you can modify for what i write i will be so thanksful if you can code it

[Dyuman Joshi]

You can use symbolic summation - symsum. You have already done the most part of the code, you just need to apply it to the summation function. Once you get the summation, in terms of x and y, you can use the relation to plot the variation as you want.

[ljaseon]

thank you!!😄😄