Pade approximants for linear Boltzmann equation
Abstract
The iteration technique is used to find the relation between the linear functional and Pade approximants. Two examples are solved as applications: (1) the neutron escape probability and (2) the reflection and transmission function in radiative transfer and in turn the emergent and transmitted intensities for a finite slab and the emergent intensity for a semiinfinite medium. Numerical calculations are done and compared with the exact results and results obtained from other techniques. It is found that the Pade approximants converge to the exact results.
 Publication:

Journal of Physics D Applied Physics
 Pub Date:
 October 1979
 DOI:
 10.1088/00223727/12/10/004
 Bibcode:
 1979JPhD...12.1633E
 Keywords:

 Boltzmann Transport Equation;
 Functionals;
 Iterative Solution;
 Pade Approximation;
 Chandrasekhar Equation;
 Fredholm Equations;
 Linear Equations;
 Neutron Scattering;
 Radiative Transfer;
 Tables (Data);
 Physics (General)