An alternative method for the calculation of Chandrasekhar's H-function and its derivative

Abstract

In this paper, a new approach using shifted Legendre polynomials has been applied for the numerical solution of the nonlinear integral equation for the Chandrasekhar H-function for isotropic scattering. This new analytical approach with its easily executable equations brought the nonlinear equation to a numerically computable form. Our numerical results show good agreement with those reported in existing literature with a difference between 0.0 0 09 % and 0.11 %. (c) 2021 Elsevier Ltd. All rights reserved.