How are parallel with ode45

Hi friends. i trying reduce execution time for my code ( system - differential equations ) by using parallel .

what are steps .... thanks in advance .

rows=1024;

cols=1024;

% interval=(rows*cols)/100;

interval=linspace(0,1,rows*cols);

[T,res]=ode45(@odefun,interval,[0.5;.4;.2]);%[0.5;.4;.2]);

% plot(T,res(:,1),T,res(:,2),T,res(:,3))

% legend('X','Y','Z')

k1=res(:,1);

k2=res(:,2);

k3=res(:,3);

function D=odefun(t,X)

x0=X(1);

y0=X(2);

z0=X(3);

a=35;

b=1.3;

c=3;

d=8;

e=10;

f=2;

g=5;

h=0.5;

x1=a*(y0-x0)+b*y0*z0;

y1=-c*x0*z0+d*y0+e*x0;

z1=f*x0*y0-g*z0+h*x0;

D=[x1;y1;z1];

end

[James Tursa]

Numeric solvers such as ode45( ) rely on calculating the derivatives with the current state. This must be done in a sequential stepping process because the future estimated state at the next step depends on the estimated solution at the current step. You can't run any future steps in parallel because they depend on the estimated solution being known at that future time, and you don't have that.

[omar A.alghafoor]

thank you

Answer 1

[Ameer Hamza]

MATLAB's ODE solvers do not support parallel processing capability.

[omar A.alghafoor]

thank you bro