Abstract In this paper we consider a numerical scheme for the treatment of an integro-differential equation. The latter represents formulation nonlocal diffusion type discretization procedure relies on application line method. However, quadrature formulae are needed evaluation integral operator. They based generalized Bernstein polynomials. Numerical evidence shows that proposed method is suita...

Symmetries play a vital role in the study of physical systems. For example, microworld and quantum physics problems are modeled on principles symmetry. These then formulated as equations defined suitable abstract spaces. Most these studies reduce to solving nonlinear spaces iteratively. In particular, convergence sixth-order Cordero type iterative method for was studied using Taylor expansion a...