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Iterative Method for a System of Nonlinear Fredholm Integral Equations

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  • Keyan Wang
  • Qisheng Wang

Abstract

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.

Suggested Citation

  • Keyan Wang & Qisheng Wang, 2021. "Iterative Method for a System of Nonlinear Fredholm Integral Equations," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, January.
    • Handle: RePEc:hin:jnlmpe:9432010
    DOI: 10.1155/2021/9432010
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