A Sinc–Collocation method for the linear Fredholm integro-differential equations |
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Authors: | Adel Mohsen and Mohamed El-Gamel |
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Abstract: | A Sinc–Collocation method for solving linear integro-differential equations of the Fredholm type is discussed. The integro-differential
equations are reduced to a system of algebraic equations and Q-R method is used to establish numerical procedures. The convergence
rate of the method is
O( e - k?N )O{\left( {e^{{ - k{\sqrt N }}} } \right)}
. Numerical results are included to confirm the efficiency and accuracy of the method even in the presence of singularities
and a comparison with the rationalized Haar wavelet method is made. |
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