Numerical Solution of an Integral Equation of Chandrasekhar Type in the Theory of Radiative Transfer

We are concerned here with a nonlinear quadratic integral equation (QIE) of Fredholm type. The existence of solutions will be proved. Convergence analysis of Adomian decomposition method (ADM) applied to these type of equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of Adomianâ€™s series solution. Mathematical subject classification: Primary: 39B82, 45M99, 47H09; Secondary: 44B20, 46C05. Keywords - Nonlinear quadratic integral equation; Chandrasekhar equation; Convergence analysis; Adomian method.