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In this paper, an application of reproducing kernel Hilbert space (RKHS) method is applied to solve system of Fredholm integro-differential equations. The exact solutions are represented in the form of series in the reproducing kernel space. Moreover, the approximate solutions un(x), vn(x) are proved to converge to the exact solutions u(x), v(x), respectively. The results reveal that the RKHS is simple and effective.
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Al‐Smadi et al. (2013) studied this question.
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