الحلول العددية لمعادلات أبيل التكاملية الخطية بطريقة متعددات حدود بوبكر
محتوى المقالة الرئيسي
الملخص
في هذه المقالة، تم تقديم طريقة عددية تستند الى عديدات حدود بوبكر لحل معادلات آبيل التكاملية الخطية من النوع الاول والثاني. تم تحويل معادلات آبيل التكاملية الى نظام جبري من المعادلات الخطية باستخدام المصفوفات. للحصول على معالم بوبكر، تم حل هذا النظام باستخدام طريقة كاوس للحذف. ولتوضيح نتائج هذه الطريقة تم تقديم اربعة امثلة ومقارنتها مع نتائج العديد من الطرق المذكرة في البحوث السابقة. تم استخدام برنامج الماتلاب R2018b لأجراء جميع الحسابات والرسوم البيانية.
Received 25/11/2022
Revised 24/03/2023
Accepted 26/03/2023
Published Online First 20/10/2023
تفاصيل المقالة
هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.
كيفية الاقتباس
المراجع
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