A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet

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  • Manochehr Kazemi*1,
  • Vali Torkashvand2,
  • Einollah Fathizade3,
  1. Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
  2. Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
  3. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Revised: 14-07-2020

Accepted: 16-10-2020

Published in Issue 01-12-2020

How to Cite

Kazemi, M., Torkashvand, V., & Fathizade, E. (2020). A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet. International Journal of Mathematical Modelling & Computations, 10(4), 281-294. https://oiccpress.com/ijm2c/article/view/11074

Abstract

In this paper, a new method for calculating the numerical approximation of the nonlinear Urysohn integral equations is proposed based on Haar wavelets. Also, the convergence analysis and numerical stability of these method are discussed. Conducting numerical experiments confirm the theoretical results of the applied method and endorse the accuracy of the method.
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