Solving continuity equations

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What is the method of solving these system of equations, where e is electron, and p is neutral and ion particles,with variable temperature T.

\begin{equation} \frac{\partial n_{e,p}}{\partial t}+\nabla.J_{e,p}=S_{e,p} \end{equation}

\begin{equation} J_{e,p}=-\nabla n_{e,p}D(T)_{e,p} \end{equation}

\begin{equation} S_{p,e}=\sum k(T)_{i}n_{p}n_{e} \end{equation}

Thanks