Author(s)

J.I. Frankel

Abstract

An orthogonal-collocation integral formulation for transient radiative transport J.I. Frankel Mechanical and Aerospace Engineering Department, University of Tennessee, Knoxville, Tennessee, 372^-22 JO, CASL4 ABSTRACT A new formulation is offered for transient radiative transport which pro- motes the use of orthogonal collocation. An intermediate variable is in- troduced 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 for- mulation has potential impact to the boundary element community with regard to nonlinear problems. INTRODUCTION The accurate numerical simulation of nonlinear, weakly-singular integro- partial differential equations of mathematical physics often represents a fo

Keywords