An approximate solution of an equation of V. A. Ambartsumyan. (Russian. English summary) Zbl 0991.65144

Summary: An algorithm for the numerical solution of the well-known Ambartsumyan equation is suggested (this eduation is widely used in astrophysics, the theory of transport of neutrons, etc.). Numerical calculations are carried out for the practically important case of Milne kernel. A correlation is given with an approximate solution obtained earlier. The role of the solution of the Ambartsumyan equation is shown by the concrete example of asymptotics for the solution of the Wiener-Hopf integral equation.


65R20 Numerical methods for integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)