Repair the Matlab code.
Here is the code for this formula.
function res = cursova()
The LongG format.
and clear;
e = 1e-6
%--------------------------------------------------------------------------------
x_k = [0;0.5)
disp('-----Method with synchronous approximation----')
count = 0;
F = [f1dx1(x_k(1), x_k(2),1) f1dx2(x_k(1), x_k(2),1);
f2dx1(x_k(1), x_k(2),1) f2dx2(x_k(1), x_k(2),1)];
A = inv (F) is
x_next=x_k-(A*[f1(x_k(1), x_k(2), 1); f2(x_k(1), x_k(2), 1)]);
A_next=A*([2*[1 0;0 1]-[f1dx1(x_k(1),x_k(2),1) f1dx2(x_k(1),x_k(2),1);
f2dx1(x_k(1), x_k(2),1) f2dx2(x_k(1), x_k(2),1)]*A]);
count = count + 1
by disp(x_k)
disp(abs(f1(x_next(1), x_next(2),1)))
disp(abs(f2(x_next(1), x_next(2),1)))
while (norm(x_next-x_k,"inf") >=e)
A = A_Next
x_k = x_next
x_next=x_k-(A*[f1(x_k(1), x_k(2), 1); f2(x_k(1), x_k(2), 1)]);
A_next=A*([2*[1 0; 0 1]-[f1dx1(x_k(1),x_k(2),1) f1dx2(x_k(1),x_k(2),1);
f2dx1(x_k(1), x_k(2),1) f2dx2(x_k(1), x_k(2),1)]*A]);
count = count + 1
by disp(x_k)
disp(abs(f1(x_next(1), x_next(2),1)))
disp(abs(f2(x_next(1), x_next(2),1)))
Ends
disp(‘It is iteration :’)
by disp (count)
DSP (According to the approximate result)
by disp(x_k)
Dis(f1 (a) )
f1_x=f1(x_next(1), x_next(2),1)
Disp (abs (f1_x )
Disp ('f2(a)')
f2_x=f2 (x_next(1), x_next(2), 1)
Disp (abs (f2_x )
%--------------------------------------------------------------------------------
% first r-n system
function res = f1(x, y, fun)
If fun = 1
%rez = cos(1/3*(x-y)) 2*y;
res = 2*x-sin (0.5*x-0.5*y)
Other
%rez = cos(1/3*(x-y)) 2*y;
res = 2*x-sin (0.5*x-0.5*y)
Ends
Ends
% second r-n system
function res = f2 (x, y, fun)
If fun = 1
%rez = sin(1/3*(x+y)) 2*x;
res = 2*y-cos (0.5*x+0.5*y)
Other
% rez = sin(1/3*(x+y)) 2*x;
res = 2*y-cos (0.5*x+0.5*y)
Ends
Ends
% 1st r-n by x
function res = f1dx1 (x, y, fun)
If fun = 1
%rez = -1/3*sin(x-y)/3);
res = 2-(0.5*cos (0.5*x-0.5*y));
Other
% res = -1/3*sin(x-y)/3);
res = 2-(0.5*cos (0.5*x-0.5*y));
Ends
Ends
% 1st r-n by Y
function rez = f1dx2 (x, y, fun)
If fun = 1
% res = 1/3* (sin((x-y)/3)-6;
res = 0.5*cos (0.5*x-0.5*y)
Other
% res = 1/3* (sin((x-y)/3)-6;
res = 0.5*cos (0.5*x-0.5*y)
Ends
Ends
% 2nd r-n by x
function rez = f2dx1 (x, y, fun)
If fun = 1
% res = 1/3* (cos((x+y)/3)-6;
res = 0.5*sin (0.5*x+0.5*y)
Other
% res = 1/3* (cos((x+y)/3)-6;
res = 0.5*sin (0.5*x+0.5*y)
Ends
Ends
Percent of the 2nd r-n by Y
function rez = f2dx2 (x, y, fun)
If fun = 1
% res = 1/3*cos(x+y)/3);
res = 0.5*sin(0.5*x+0.5*y)+2;
Other
%rez = 1/3*cos(x+y)/3);
res = 0.5*sin(0.5*x+0.5*y)+2;
Ends
Ends
Ends
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