Iterative Method for a System of Nonlinear Fredholm Integral Equations
Keyword(s):
In this paper, the iteration method is proposed to solve a class of system of Fredholm-type nonlinear integral equations. First, the existence and uniqueness of solution are theoretically proven by the fixed-point theorem. Second, the approximation solution method is given by using the appropriate integration rule. The error analysis for the approximated solution with the exact solution is discussed for infinity-norm, and the rates of convergence are obtained. Furthermore, an iteration algorithm is constructed, and the convergence of the proposed numerical method is rigorously derived. Finally, some numerical examples are given to illustrate the theoretical results.
2011 ◽
Vol 2011
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pp. 1-11
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2014 ◽
Vol 2014
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pp. 1-7
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2021 ◽
Vol 11
(1)
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pp. 18
2020 ◽
Vol 22
(3)
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pp. 319-332
2019 ◽
Vol 5
(3)
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