A NEW INITIAL VALUE METHOD FOR INTERNAL INTENSITIES IN RADIATIVE TRANSFER,
Abstract
An improved technique is presented for determining internal intensities for transport processes 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 two-point boundary conditions or singular integral equations can be converted into stable initial-value problems, a major step in mathematical physics and engineering. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0630121
Entities
People
- Harriet H. Kagiwada
- Robert E. Kalaba
Organizations
- RAND Corporation