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DOE OSTI · 22769252

Generalized Jacobi method for linear bounded operators system

Lemita, Samir·Guebbai, Hamza
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Abstract

In this paper, we construct a generalization of the Jacobi iterative method adapted to a system of linear bounded operators. This new method is used with product integration method to solve a linear Fredholm integral equation of the second kind with a weakly singular kernel. The convergence analysis is proved. The numerical tests developed show its effectiveness.

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97 MATHEMATICS AND COMPUTINGCONVERGENCEFREDHOLM EQUATIONITERATIVE METHODSKERNELS

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Lemita, Samir, Guebbai, Hamza. 2018-07-15. Generalized Jacobi method for linear bounded operators system. https://doi.org/10.1007/s40314-017-0557-3

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