in the case of infinite number with many variable and plot

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ljaseon
ljaseon 2021-4-28
评论： ljaseon 2021-5-2
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
  2 个评论
Dyuman Joshi
Dyuman Joshi 2021-5-1
编辑：Dyuman Joshi 2021-5-1
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.

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