طريقة انكماش باناخ لحل المعادلات التفاضلية التكاملية الجزئية
القسم: Article
الملخص
في هذا البحث، تم استخدام طريقة انكماش باناخ لحل المعادلات التفاضلية التكاملية الجزئية الخطية وغير الخطية من نوع فولتيرا وفريدهولم ومقارنتها بالحلول الدقيقة لإثبات دقة الطريقة المقترحة. كشفت النتائج أن طريقة انكماش باناخ فعالة للغاية وبسيطة وذات دقة عالية لحل المعادلات التفاضلية التكاملية من الرتب العليا. تم حل أربعة أمثلة مختلفة ومقارنتها بالحلول الدقيقة باستخدام متوسط الخطأ التربيعي والخطأ المطلق. تظهر الجداول والأشكال تقارب الطريقة المقترحة في الحل.
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تنزيل هذا الملف
الإحصائيات
كيفية الاقتباس
Hiba Shuker Mahmood, & Ahmed F. Qasim. (2025). طريقة انكماش باناخ لحل المعادلات التفاضلية التكاملية الجزئية. مجلة ابحاث كلية التربية الاساسية, 21(4), 138–157. https://doi.org/10.33899/berj.2025.Vol21.Iss4.54257
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