The subject of our considerations is a generalized von Foerster equation in many spatial variables. We present a discretization method of the initial value problem and study stability of finite difference schemes on regular meshes.
We present a discretization method for a generalized von Foerster-type equation in many spatial variables. Stability of finite difference schemes on regular meshes is studied. If characteristic curves are decreasing, there are forward difference quotients applied. Otherwise, the derivatives are replaced by backward difference quotients.
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