An Orthogonal-collocation IntegralFormulation For Transient Radiative Transport

Abstract

A new formulation is offered for transient radiative transport which promotes the use of orthogonal collocation. An intermediate variable is introduced which permits the efficient and rapid development of accurate numerical results. Chebyshev polynomials of the first kind are used as the basis functions for the spatial variable while the temporal variable is resolved by an initial value method. Some a posteriori error estimates are presented illustrating the effectiveness of the approach. This new formulation has potential impact to the boundary element community with regard to nonlinear problems.