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Browsing by Author "Measoomy, S. A."

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    A Numerical Solution of the Urysohn-Type Fredholm Integral Equations
    (Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Measoomy, S. A.; Golmankhaneh, Alireza K.; Baleanu, D.; Matematik
    In 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.