Usage example for implicit_multistep employing 3-step Adams-Moulton method
0001 % Usage example for implicit_multistep 0002 % employing 3-step Adams-Moulton method 0003 0004 f = @(t,y) -10^2*(y - t^(-1)) - t^(-2); 0005 t0 = 1; 0006 y0 = 1; 0007 h = 0.1; 0008 T = 2; 0009 rho = [0; 0; -1; 1]; 0010 sigma = [1/24; -5/24; 19/24; 3/8]; 0011 analytic = @(t) t.^(-1); 0012 [ y,t,err ] = implicit_multistep( f,t0,y0,h,T,rho, sigma, analytic ); 0013 figure; 0014 plot(t,y,'o'); 0015 xlabel('t'); 0016 ylabel('y(t)'); 0017 hold on; 0018 ezplot(analytic, [1 2]); 0019 legend('numerical','analytic');