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 \(O{\left( {e^{{ - k{\sqrt N }}} } \right)}\). 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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Mohsen, A., El-Gamel, M. A Sinc–Collocation method for the linear Fredholm integro-differential equations. Z. angew. Math. Phys. 58, 380–390 (2007). https://doi.org/10.1007/s00033-006-5124-5
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DOI: https://doi.org/10.1007/s00033-006-5124-5