Can this be arranged to run
    5 Ansichten (letzte 30 Tage)
  
       Ältere Kommentare anzeigen
    
    MINATI
      
 am 26 Sep. 2020
  
    
    
    
    
    Kommentiert: MINATI
      
 am 26 Sep. 2020
            function [u,x,y] = poisson(f,g,bx0,bxf,by0,byf,D,Mx,My,tol,MaxIter)
x0 = D(1); xf = D(2); y0 = D(3); yf = D(4);
dx = (xf - x0)/Mx; x = x0 + [0:Mx]*dx;
dy = (yf - y0)/My; y = y0 + [0:My]'*dy;
Mx1 = Mx + 1; My1 = My + 1;
%Boundary conditions
for m = 1:My1, u(m,[1 Mx1])=[bx0(y(m)) bxf(y(m))]; end %left/right side
for n = 1:Mx1, u([1 My1],n) = [by0(x(n)); byf(x(n))]; end %bottom/top
%initialize as the average of boundary values
sum_of_bv = sum(sum([u(2:My,[1 Mx1]) u([1 My1],2:Mx)']));
u(2:My,2:Mx) = sum_of_bv/(2*(Mx + My - 2));
for i = 1:My
for j = 1:Mx
F(i,j) = f(x(j),y(i)); G(i,j) = g(x(j),y(i));
end
end
dx2 = dx*dx; dy2 = dy*dy; dxy2 = 2*(dx2 + dy2);
rx = dx2/dxy2; ry = dy2/dxy2; rxy = rx*dy2;
for itr = 1:MaxIter
for j = 2:Mx
for i = 2:My
u(i,j) = ry*(u(i,j + 1)+u(i,j - 1)) + rx*(u(i + 1,j)+u(i - 1,j)) + rxy*(G(i,j)*u(i,j)- F(i,j)); 
end
end
if itr > 1 & max(max(abs(u - u0))) < tol, break; end
u0 = u;
end
%solve_poisson
f = inline('0','x','y'); g = inline( '0','x','y');
x0 = 0; xf = 4; Mx = 20; y0 = 0; yf = 4; My = 20;
bx0 = inline( 'exp(y) - cos(y)','y');   bxf = inline( 'exp(y)*cos(4) - exp(4)*cos(y)','y'); 
by0 = inline( 'cos(x) - exp(x)','x');   byf = inline( 'exp(4)*cos(x) - exp(x)*cos(4)','x');
D = [x0 xf y0 yf]; MaxIter = 500; tol = 1e-4;
[U,x,y] = poisson(f,g,bx0,bxf,by0,byf,D,Mx,My,tol,MaxIter);
clf, mesh(x,y,U), axis([0 4 0 4 -100 100])
8 Kommentare
  Rik
      
      
 am 26 Sep. 2020
				The default of the run button is to run a function without any inputs. So you defined some variables, but you didn't actually provided any inputs to your function.
Akzeptierte Antwort
  Walter Roberson
      
      
 am 26 Sep. 2020
        In a new file, put in the code
f = @(x,y) exp(x) + sin(y);
g = @(x,y) exp(x) .* sin(y);
x0 = 0; xf = 4;
Mx = 20;
My = 20;
y0 = 0; yf = 4;
D = [x0 xf y0 yf];
bx0 = @(y) exp(y) - cos(y);
bxf = @(y) exp(y)*cos(4) - exp(4)*cos(y); 
by0 = @(x) cos(x) - exp(x);
byf = @(x) exp(4)*cos(x) - exp(x)*cos(4);
MaxIter = 500;
tol = 1e-4;
[u,x,y] = poisson(f,g,bx0,bxf,by0,byf,D,Mx,My,tol,MaxIter);
Now you can use the green run button on that new file.
I notice that you are using cos() with values that can be up to 4. Are you sure you want your units to be radians, and not degrees?
Weitere Antworten (0)
Siehe auch
Kategorien
				Mehr zu Graphics Objects finden Sie in Help Center und File Exchange
			
	Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!