Title of article :
A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet
Author/Authors :
Kazemi, M. Department of Mathematics - Islamic Azad University Ashtian Branch - Ashtian, Iran , Torkashvand, V. Department of Mathematics - Islamic Azad University Hamedan Branch - Hamedan, Iran , Fathizadeh, E. Department of Mathematics - Islamic Azad University Karaj Branch - Karaj, Iran
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.
Keywords :
Integral equations , Haar wavelet , Lipschitz condition , Successive approximations
Journal title :
International Journal of Mathematical Modelling and Computations
