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

الموضوعات : فصلنامه ریاضی

Manochehr Kazemi ¹ (Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran)
Vali Torkashvand ² (Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran)
Einollah Fathizade ³ (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

تاريخ الإرسال : 23 الثلاثاء , ذو القعدة, 1441 تاريخ التأكيد : 29 الجمعة , صفر, 1442 تاريخ الإصدار : 16 الثلاثاء , ربيع الثاني, 1442

الکلمات المفتاحية: Haar wavelet, Lipschitz condition, Integral equations, Successive approximations,

ملخص المقالة :

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.