
Summary: The \(P_2\) approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for \(P_2\) equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the upwind difference scheme for the \(P_2\) equation is demonstrated.
neutron transport equations, Stability of difference equations, upwind schemes, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Other PDE from mechanics, Initial-boundary value problems for first-order hyperbolic systems, stability
neutron transport equations, Stability of difference equations, upwind schemes, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Other PDE from mechanics, Initial-boundary value problems for first-order hyperbolic systems, stability
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