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refine the code

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edited Oct 8, 2020 at 6:06

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I'm not sure what you are trying to model here, but there's not enough initial and boundary conditions for the system to be solved. I tried to just add a few, this works but I'm not sure exactly which initial and boundary conditions you need for your problem

#your(*your eqs and conditionsconditions*)
INC4 = Derivative[1, 0][T][0, \[Tau]];τ];
INC5 = Derivative[2, 0][u][0, \[Tau]];τ];
INC6 = u[y, 0] + T[y, 0];

NDSolve[{EQ1 == 0, EQ2 == 0, INC1 == 0, INC2 == 0, INC3 == 0, 
  INC4 == 0, INC5 == 0, INC6 == 0}, {u, T}, {\[Tau]τ, 0, 10}, {y, -10, 
  10}]
```

#your eqs and conditions
INC4 = Derivative[1, 0][T][0, \[Tau]];
INC5 = Derivative[2, 0][u][0, \[Tau]];
INC6 = u[y, 0] + T[y, 0];

NDSolve[{EQ1 == 0, EQ2 == 0, INC1 == 0, INC2 == 0, INC3 == 0, 
  INC4 == 0, INC5 == 0, INC6 == 0}, {u, T}, {\[Tau], 0, 10}, {y, -10, 
  10}]
```

(*your eqs and conditions*)
INC4 = Derivative[1, 0][T][0, τ];
INC5 = Derivative[2, 0][u][0, τ];
INC6 = u[y, 0] + T[y, 0];

NDSolve[{EQ1 == 0, EQ2 == 0, INC1 == 0, INC2 == 0, INC3 == 0, 
  INC4 == 0, INC5 == 0, INC6 == 0}, {u, T}, {τ, 0, 10}, {y, -10, 
  10}]

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created Oct 7, 2020 at 15:20

luigi

#your eqs and conditions
INC4 = Derivative[1, 0][T][0, \[Tau]];
INC5 = Derivative[2, 0][u][0, \[Tau]];
INC6 = u[y, 0] + T[y, 0];

NDSolve[{EQ1 == 0, EQ2 == 0, INC1 == 0, INC2 == 0, INC3 == 0, 
  INC4 == 0, INC5 == 0, INC6 == 0}, {u, T}, {\[Tau], 0, 10}, {y, -10, 
  10}]
```