A new initial value method for internal intensities in radiative transfer

by H. H. Natsuyama, Robert E. Kalaba


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Presentation of an improved technique for determining internal intensities for transport porcesses in finite slabs where absorption and multiple scattering occur. Traditional approaches involve solving either an unstable linear two-point boundary-value problem or a singular integral equation, both of which have computational drawbacks. This new method, however, has computational and analytical advantages, for it leads to the integration of an initial value problem for a system of ordinary differential equations, a suitable task for digital computers. Some typical results are presented as well as comparisons against other calculations. The authors also show how certain problems involving tow-point boundary conditions or singular integral equations can be converted into stable initial-value problems, a major step in mathematical physics and engineering.

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