A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations
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Date
2014
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Editura Academiei Romane
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Abstract
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 nonlinear equations is solved numerically by using the ANNs approach to yield truncated Bernstein series coefficients of the solution function. Several illustrative examples with numerical simulations are provided to support the theoretical claims.
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Keywords
Approximate Solution, Artificial Neural Networks Approach, Bernstein Polynomials Method, Urysohn-Type Fredholm Integral Equation
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Citation
Jafarian, 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.
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Source
Romanian Journal of Physics
Volume
59
Issue
7-8
Start Page
625
End Page
635