Development of the Adomian's Method for Solving non-linear Fredholm-Fredholm Integral Equations

Abstract

‫الملخص‬ : ‫اق‬ ‫ة‬ ‫مباشر‬ ‫جديدة‬ ‫يقة‬ ‫طر‬ ‫ترحت‬ ‫و‬ ‫الخطية‬ ‫غير‬ ‫التكاممية‬ ‫لممعادلة‬ ‫عددي‬ ‫حل‬ ‫لحساب‬ ‫مقبولة‬ ‫يدهولم‬ ‫فر‬ ‫نوع‬ ‫من‬ -‫يدهولم‬ ‫فر‬ . ‫أساس‬ ‫هي‬ ‫يقة‬ ‫الطر‬ ‫متسمسمة‬ ‫حل‬ ‫معرفة‬ ‫غير‬ ‫لكمية‬ ‫ادم‬ ‫يقة‬ ‫بطر‬ ‫و‬ ‫ن‬ . ‫نتائج‬ ‫عمى‬ ‫حصمنا‬ ‫أفضل‬ ‫ادمون‬ ‫يقة‬ ‫بطر‬ ‫نة‬ ‫مقار‬ . ‫بعض‬ ‫األمثمة‬ ‫يقة‬ ‫الطر‬ ‫لهذه‬ ‫الفعالية‬ ‫وحساب‬ ‫دقة‬ ‫لتوضيح‬ ‫قدمت‬ . Abstract:A new and effective direct method to determine the numerical solution of non-linear Fredholm-Fredholm integral equations is proposed.The method is based on a series solution for the unknown quantity by Adomian's method. We obtained very good results compared with classic Adomian's method Some numerical examples are provided to illustrate accuracy and computational efficiency of the method.