My code is :
clc
clear all
h = 0.5;
x = 1:h:5;
y = zeros(2,length(x)); % y vector declaration
y(1,1) = 3; % y value
y(2,1) = 1; % y' value
f = @(x) (dy^2)/(dx^2 )+dy/dx-6*y;
for i=1:(length(x)-1) % calculating y values
z1 = f( x(i) , y(:,i));
z2 = f( x(i)+0.5*h, y(:,i)+0.5*h*z1);
z3 = f( x(i)+0.5*h, y(:,i)+0.5*h*z2);
z4 = f( x(i)+h, y(:,i)+h*z3);
y(:,i+1) = y(:,i) + (1/6)*(z1 + 2*z2 + 2*z3 + z4)*h;
end
%plotting results
Y = x.^2 - x - 6;
figure
hold on
plot(x,Y,'b'); % analytic solution plot--- blue
plot(x,y(1,:),'r'); % runga kutta solution --- Red
grid on
legend('Analytical solution','RK4');
xlabel('time (T)')
ylabel('y')
title('Runga gutta 4th order');
But My output is :
Too many input arguments.
Error in Untitled3 (line 11)
z1 = f( x(i) , y(:,i));
How can i fix this problem sir?
