loop explanation applied in equations solution

Hi

I currently learning to solve math equations using matlab.Could you explain me the loop below?

thanks

while check~='y'

x0y0=input(['Dwse mou ta akraia shmeia ths grafikhs parastashs\n ' ...

'sth morfh [x0 xend y0 yend] : ']);

xstart=x0y0(1);xend=x0y0(2);ystart=x0y0(3);yend=x0y0(4);

e=10^(-14);

x=linspace(xstart,xend,60);

y=linspace(ystart,yend,60);

[X,Y]=meshgrid(x,y);

Z1=f(X,Y);

Z2=g(X,Y);

contour(X,Y,Z1,[0 0],'m')

hold on

contour(X,Y,Z2,[0 0],'b')

hold off

check=input('Eisai euxaristhmenos apo th grafikh parastash?','s');

end

Answer 1

[Neha]

The code creates a while loop that allows the user to input the boundaries of a graphical representation of a mathematical function and plot it with contours.

Inside the while loop, the input values are assigned to variables 'xstart', 'xend', 'ystart', and 'yend'.

The 'linspace' function is used to create a vector x of 60 equally spaced points between 'xstart' and 'xend', and a vector y of 60 equally spaced points between 'ystart' and 'yend'.

The 'meshgrid' function returns 2-D grid coordinates based on the coordinates contained in vectors x and y. X is a matrix where each row is a copy of x, and Y is a matrix where each column is a copy of y. The grid represented by the coordinates X and Y has length(y) rows and length(x) columns.

After f and g functions return Z1 and Z2, the 'contour' function is used to plot the contour lines of Z1 and Z2 where the contour level is 0 (contour lines are drawn at a single height- 0).

The 'm' and 'b' arguments specify the colors of the contour lines.

For detailed explanation about ‘contour' and 'meshgrid' functions, please refer to the following documentation:

2-D and 3-D grids - MATLAB meshgrid (mathworks.com)

Contour plot of matrix - MATLAB contour (mathworks.com)