Other language title :
روش تكراري جهت حل معادلات انتگرال فازي غيرخطي دوبعدي با استفاده از توابع بلاك پالس دومتغيره فازي همراه با تقريب خطا
Title of article :
ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION
Author/Authors :
Ziari, Shokrollah Department of Mathematics - Firoozkooh Branch, Islamic Azad University
Abstract :
In this paper, we propose an iterative procedure based on two dimensional fuzzy block-pulse functions for solving nonlinear fuzzy Fredholm integral equations of the second kind. The error estimation and numerical stability of the proposed method are given in terms of supplementary Lipschitz condition.
Finally, illustrative examples are included in order to demonstrate the accuracy and convergence of the proposed method
Farsi abstract :
در اين مقاله، فرآيندي تكراري براساس توابع بلا ك پالس فازي جهت حل معادلات انتگرال نوع دوم فردهلم غيرخطي فازي ارائه مي نماييم. تقريب خطا و پايداري عددي روش ارائه شده برحسب شرط مكمل ليپشيتس بيان شده اند. سرانجام، به منظور نشان دادن دقت و همگرايي روش ارائه شده، مثالهاي تشريحي لحاظ شده است
Keywords :
Two dimensional nonlinear fuzzy Fredholm integral equations of the second kind , Two dimensional fuzzy block-pulse functions , Supplementary Lipschitz condition
Journal title :
Astroparticle Physics