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)

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# Numerical method needed for the following system of ODEs

Can you offer guidance or do you also need help?

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