Monthly Notices of the Royal Astronomical Society · 1966 · 17 citations · 0 references
EngineeringComputational EngineeringDifferential EquationsRadiation TransportTransport PhenomenaIntegral Equation FormulationsIntegral EquationsRadiative Heat TransferRadiative TransferInitial Boundary ConditionsInvariant Differential OperatorsOperatorsRadiative Transfer EquationsRadiative Transfer ModelingRadiative Transfer TheoryRadiative Transport TheoryTransport Theory
Abstract The problem of calculating internal intensities in transport theory is reformulated with the method of invariant imbedding. The advantage of this approach is that the domains of the integral and the differential operators are disjoint. The computational solution is perfectly feasible, involving the integration of a system of ordinary differential equations with known initial conditions . Graphical results show the presence of internal maxima in the internal intensity function.