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

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 10، 4 (Fall) - شماره پیاپی 40، اسفند 2020، صفحه 281-294   

نوع مقاله: Full Length Article

نویسندگان

Manochehr Kazemi^{* 1}؛ Vali Torkashvand²؛ Einollah Fathizade³

¹Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

²Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

³Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

چکیده

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.

کلیدواژه‌ها

Integral equations؛ Haar wavelet؛ Lipschitz condition؛ Successive approximations