A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations
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Date
2014
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Publisher
Editura Acad 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 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.
Description
Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976
Keywords
Urysohn-Type Fredholm Integral Equation, Bernstein Polynomials Method, Artificial Neural Networks Approach, Approximate Solution
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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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Q3
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Q3
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Volume
59
Issue
7-8
Start Page
625
End Page
635