Dear Wolfram community,
I have a nonlinear system with two variables. For Example:
Clear["Global`*"]
system = {
D[a[t, x], t] == a[t, x] + b[t, x],
D[b[t, x], x] == a[t, x] b[t, x],
a[t, 0] == 0.5, b[0, x] == 1};
solution = NDSolve[system, {a, b}, {t, 0, 10}, {x, 0, 10}]
and get as an error massgae:
NDSolve::femnonlinear: Nonlinear coefficients are not supported in this version of NDSolve..
What is my problem and my miss understanding?
Thank for your help.
