Jafarian, A.Baleanu, DumitruMeasoomy, S. A.Golmankhaneh, Alireza K.Baleanu, D.Matematik2025-09-232025-09-232014Jafarian, A...et al. (2014). "A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations", Romanian Journal of Physics, Vol. 59, No. 7-8, pp. 625-635.1221-146Xhttps://hdl.handle.net/20.500.12416/15368Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976In the present paper, a combination of the Bernstein polynomials and artificial neural networks (ANNs) is presented for solving the non-linear Urysohn equation. These polynomials are utilized to reduce the solution of the given problem to the solution of a system of non-linear algebraic equations. The remaining set of non-linear equations is solved numerically by using the ANNs approach to yield truncated Bernstein series coefficients a the solution function. Several illustrative examples with numerical simulations are provided to support the theoretical claims.eninfo:eu-repo/semantics/closedAccessUrysohn-Type Fredholm Integral EquationBernstein Polynomials MethodArtificial Neural Networks ApproachApproximate SolutionArticle2-s2.0-84907172427