Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind | Zendy

Abbas Al-Bayati | Zendy; Rostam K. Saeed | Zendy; Kawa M. Aziz | Zendy

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Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind

Author(s) -

Abbas Al-Bayati,

Rostam K. Saeed,

Kawa M. Aziz

Publication year - 2012

Publication title -

maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2311-7990

pISSN - 1815-4816

DOI - 10.33899/csmj.2012.163699

Subject(s) - fredholm integral equation , nonlinear system , integral equation , rank (graph theory) , matlab , fredholm theory , mathematics , computer science , numerical analysis , algorithm , mathematical analysis , physics , quantum mechanics , combinatorics , operating system

In this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind. A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running computer time. Our numerical results are obtained by MATLAB 7.0 program and for a system of rank 2×2, 3×3 on Personal Computer P4.

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