Hello,
is Matlab able to solve following system of coupled ode and pde equations:
Variables:
- i1(t),i2(t)
- ja(x,t),jb(x,t)
Equations (I removed the time dependence for visibility):
- u1= i1*R1 + L11*d(i1)/dt + L21*d(i2)/dt + d(integral[ja(x),x])/dt*K + d(integral[jb(x),x])/dt*K
- u2= i2*R2 + L22*d(i2)/dt + L12*d(i1)/dt+d(integral[ja(x),x])/dt*K + d(integral[jb(x),x)]/dt*K
- u3=[ja(x)-jb(x)]*A + d^2(ja(x))/dx^2*B – [d(i1)/dt-d(i2)/dt]*C – d(ja(x)*D)/dt – d(jb(x)*E)/dt
- u4=[jb(x)-ja(x)]*A + d^2(jb(x))/dx^2*F – [d(i1)/dt-d(i2)/dt]*G – d(ja(x)*H)/dt – d(jb(x)*I)/dt
If Matlab is able to solve it, what would be the best way to do so? I tried PDEPE, but did not succeed so far, because I couldn’t couple the equations via the time derivations.
Thanks in advance!
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