transform ode15i input to ode15s input
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Since I got completely stuck in the last two weeks I am giving up with ode15i solver and I would like to solve my equations using ode15s.
But input formulations of DAE for ode15s are completely different from those used in ode15i.
Is there some method to rewrite systems like the one below programatically for ode15s solver?
syms u1(t) u2(t) u3(t) u4(t) u5(t) il1(t) il2(t) iv1(t) L1 L2 C1 C2 C3 G1 G2 V1 I1
x = [u1(t) u2(t) u3(t) u4(t) u5(t) il1(t) il2(t) iv1(t)].'
eqns = [
iv1(t) - il1(t) == 0
il1(t) - tanh(100*t)*sin(3000*pi*t) + diff(u2(t), t)/10000000000 - (7737125245533627*diff(u3(t), t))/154742504910672534362390528 == 0
(7737125245533627*diff(u3(t), t))/154742504910672534362390528 - (7737125245533627*diff(u2(t), t))/154742504910672534362390528 - il2(t) == 0
il2(t) + u4(t)/50 + tanh(100*t)*sin(3000*pi*t) + (7737125245533627*diff(u4(t), t))/154742504910672534362390528 - (7737125245533627*diff(u5(t), t))/154742504910672534362390528 == 0
u5(t)/50 - (7737125245533627*diff(u4(t), t))/154742504910672534362390528 + (7737125245533627*diff(u5(t), t))/154742504910672534362390528 == 0
u1(t) - u2(t) + diff(il1(t), t)/10000000 == 0
u3(t) - u4(t) + diff(il2(t), t)/10000000 == 0
u1(t) - sin(2000*pi*t) == 0]
f = daeFunction(eqns,x)
F = @(t,Y,YP) f(t,Y,YP);
y0est = [0 0 0 0 0 0 0 0]';
yp0est = [0 0 0 0 0 0 0 0]';
opt = odeset('RelTol', 1e-3,'AbsTol',1e-3);
[y0,yp0] = decic(F,0,y0est,[],yp0est,[],opt)
[tSol,ySol] = ode15i(F,[0:1e-6:0.1],y0,yp0,opt);
plot(tSol,ySol)
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