تقنيات عددية مطورة لحل نموذج رياضي لانتشار الفايروسات في الحاسوب

الباحث

ليث هشام عزت عبدالقدير

المشرف

أحمد فاروق قاسم

الجامعة

جامعة الموصل

الكلية / القسم

كلية علوم الحاسوب والرياضيات / الرياضيات

الشهادة

ماجستير

السنة

2023

لغة الرسالة

عربي

الكلمات المفتاحية

التقنيات العددية ; النموذج الرياضي ; فيروسات الحاسوب ; المعادلات التفاضلية

This thesis is concerned with the application and improvement of approximate methods in solving mathematical models of nonlinear partial differential equations that represent systems of spreading viruses in the computer, where two mathematical models were solved, which are general systems that describe controlling the spread of viruses by studying the elements affecting the nonlinear system . Several real solutions for systems have been derived based on the Exponential Function Method, which is a periodic solution that helps describe the behavior of the solution for nonlinear systems and the extent of the influence of parameters on it. A new formula was derived to solve systems of non-linear ordinary and partial differential equations based on the Admoian Decomposition Method, where this new formula was applied in solving virus spreading systems and compared with the classic Admoian polynomial formula (Admoian Decomposition Method) and the (Successive Approximation Method) to demonstrate the accuracy of the proposed method in reaching the exact solution. In addition, the effect of parameters on the spread of viruses was studied using the genetic algorithm to show the effect of increasing and decreasing these parameters on the emergence and spread of the virus, where the best values of the parameters were found in non-linear systems, which gave the best model and mathematical solutions depending on the square error rate ( Mean Squared Error).

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الاسم

رقم الهاتف

البريد الإلكتروني

الغرض من الطلب (اختياري)

إرسال الطلب