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Numerical Solution of Nonlinear Quadratic Integral Equation of Hammerstein Type Based on Fixed-Point Scheme

Author

Listed:
  • Reza Mollapourasl

    (Department of Mathematics, Farmingdale State College—SUNY, Farmingdale, NY 11735, USA)

  • Joseph Siebor

    (Department of Mathematics, Farmingdale State College—SUNY, Farmingdale, NY 11735, USA)

Abstract

Existence of the solution for the nonlinear quadratic integral equation of the Hammerstein type in the Banach space BC( R + ) has been proved by using the technique of measure of noncompactness and fixed-point theorem. In this article, we obtain an approximate solution for the quadratic integral equation by using the Sinc method and the fixed-point technique. Moreover, the convergence of the numerical scheme for the solution of the integral equation is demonstrated by a theorem, and numerical experiments are presented to show the accuracy of the numerical scheme and guarantee the analytical results.

Suggested Citation

  • Reza Mollapourasl & Joseph Siebor, 2025. "Numerical Solution of Nonlinear Quadratic Integral Equation of Hammerstein Type Based on Fixed-Point Scheme," Mathematics, MDPI, vol. 13(9), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:9:p:1413-:d:1642538
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