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Computational Methods for Solving Fredholm Integral Equation of the Second Kind

N. Rihan, N. Qatanani


The main purpose of this paper is the numerical solution of the one-dimensional linear Fredholm integral equation of the second kind by the collocation and the Nyström methods, using the Lagrange basis functions for piecewise linear interpolation. Some effective algorithms implementing these methods using the Matlab software have been constructed. The numerical results of test examples are also included to verify the performance of the proposed algorithms.


Fredholm integral equation, collocation method, Nyström method, Matlab.

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