Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials

Abstract In this work, we use Newton-type iterative schemes to obtain a domain of existence of solution, approximate the solution of Chandrasekhar H -equations and deal with the case of nonlinear integral equations with non-separable kernels. A change of variable in the Chandrasekhar H -equation allows us to apply a previous study by describing nonlinear integral equations of Hammerstein-type with non-separable kernel. We use the Bernstein polynomials for approximating the non-separable kernel and then we apply a semilocal converge study done previously to the Chandrasekhar H -equation . Moreover, we apply Newton-type iterative schemes for some specific Chandrasekhar H -equations to approximate the H -function solution and compare our results with others obtained previously.