I am required to solve the following system of ODEs numerically. Could someone suggest an appropriate methodology. These equations are phenomenological equations derived from irreversible thermodynamics. I have to solve for the flux terms given on the L.H.S. The coefficients of differentials on the R.H.S are constants and are known.(adsbygoogle = window.adsbygoogle || []).push({});

J_q= -L_11/T dT/dx-L_12 (dμ_HCL)/dx-L_13 ((d∅)/dx)

J_HCL= -L_21/T dT/dx-L_22 (dμ_HCL)/dx-L_23 ((d∅)/dx)

j= -L_31/T dT/dx-L_32 (dμ_HCL)/dx-L_33 ((d∅)/dx)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Numerical method needed for the following system of ODEs

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**