Ce. Siewert, AN IMPROVED ITERATIVE METHOD FOR SOLVING A CLASS OF COUPLED CONDUCTIVE-RADIATIVE HEAT-TRANSFER PROBLEMS, Journal of quantitative spectroscopy & radiative transfer, 54(4), 1995, pp. 599-605
Newton's method of iteration is used along with the P-N method, also c
alled the spherical-harmonics method, and Hermite cubic splines to dev
elop an iterative solution to a class of nonlinear problems in radiati
ve transfer. Anisotropic scattering and specularly and diffusely refle
cting boundaries are allowed for the steady-state, combined-mode, cond
uctive-radiative, heat-transfer problem considered.