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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
3
votes
1
answer
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views
Find an appropriate algorithm for certain type of first order nonlinear PDE
I am trying to solve a first-order nonlinear PDE of the form
$$
\partial_t z(t,x) = f(t, x, z(t,x), \partial_x z(t,x))
$$
with the boundary condition
$$
z(0,x) = \phi(x)
$$
for some finite domain $x …