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رقم الإيداع المحلي
95 / 2020
دار الكتب الوطنية بنغازي
ISSN: 2706-9087
المجلد الخامس
العدد التاسع لشهر يونيو 2020

رجوع

تحميل البحث
full-text

Solution of Rational Difference Equations by Applying the Differential Transform Method

تاريخ الاستلام: 28-2-2020م

تاريخ التقييم: 2-4-2020م

Pages: 139-152

Authors: Zainab Eshames Almsheti - Mohd Salmi Md Noorani
الملخص:

في السنوات الأخيرة، كُرِّس اهتمام كبير للطرق المطورة حديثاً لايجاد الحلول التحليلية لمعادلات الفرق الغير خطية. وإحدى هذه الطرق المعتمدة هي طريقة التحويل التفاضلي DTM والتي استُخدمت على نطاق واسع لحل العديد من المسائل الخطية واللاخطية. في هذه الورقة نبحث امكانية استخدام DTM لحل معادلات الفرق القياسية وتحديد مشاكل جديدة لهذا النوع.

Abstract:

In recent years, much consideration has been devoted to the newly developed methods to construct analytic solutions of non-linear difference equations. One of these reliable methods is the Differential Transform Method DTM which has been used extensively to solve different types of linear and non-linear problems. In this paper, we explore the potential of using the DTM to solve rational difference equations and identify new open problems and conjectures of this kind.

Keywords: Rational Difference Equations; Differential Transform Method (DTM).

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