Direct and iterative methods for the numerical solution of mixed integral equations |
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Authors: | F. Caliò M.V. Fernández Muñoz E. Marchetti |
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Affiliation: | 1. Université de Lyon, Institut Camille Jordan, UMR 5208, 23 rue du Dr Paul Michelon, 42023 Saint-Étienne Cedex 2, France;2. Faculdade Economia da Universidade Porto and Centro Matemática da Universidade do Porto, Portugal |
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Abstract: | In this paper we analyze and compare two classical methods to solve Volterra–Fredholm integral equations. The first is a collocation method; the second one is a fixed point method. Both of them are proposed on a particular class of approximating functions. Precisely the first method is based on a linear spline class approximation and the second one on Schauder linear basis. We analyze some problems of convergence and we propose some remarks about the peculiarities and adaptability of both methods. Numerical results complete the work. |
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