I tried to solve some equation with using Euler's formula (code is presented below) and everything is all right with one small problem. As shown below, finally I would like to plot 2 functions: 'f(x)' which is analitical solution and 'y(x)' which corresponds to Euler's solutions.
I want 'f(x)' to be plotted as continuous line (not only points). But the plot is rebelling and shows only points 🙁
Anybody could explains this?
dy = @(x,y)y-x^2+1; % differential equation
f = @(x)((x+1)^2)-0.5*exp(x); % analytical solution
x0 = 0; % initial point of interval
xf = 2; % final point of interval
y = 0.5; % initial condition of value of y at x0
h = 0.1; % step size for side edge
fprintf('x(i)\t\t y_Euler(i)\t\t y_analitical(i)\n') % data table header
fprintf('%f\t %f\t\t %f\n',x0,y,f(x0));for x = x0 : h : xf-h y = y + dy(x,y)*h; % Euler formula
x = x + h; % here we compute x as the next step
fprintf('%f\t %f\t\t %f\n',x,y,f(x)); % print results
figure(1) plot(x,f(x),'rx-','LineWidth',2) hold on plot(x,y,'bo') title('Euler`s method and exact solution') xlabel('x','FontSize',12,'FontWeight','bold','Color','black') ylabel('y','FontSize',12,'FontWeight','bold','Color','black') legend('Analytical solution','Euler method') grid on; grid minorend
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