The Green's Function Method Solutions to Solve of nth-order Linear Differential Equations

طريقة حلول دالة جرين لحل المعادلات التفاضلية الخطية ذات من الرتبة النونية

المؤلفون

  • Nedal Hassan Elbadowi Eljaneid, Abdelradi Abdelrahman Abdelradi, Ragaa Mohammed Haj Ibrahim

الكلمات المفتاحية:

Green's Functions
دوال جرين
Ordinary linear Differential Equations
المعادلات التفاضلية الخطية العادية

الملخص

In this research article, we present the Green's function approach of ordinary differential equations with initial and boundary conditions, we represented the differential equation by an integral equation. The text provides a sufficient theoretical basis to understand Green’s function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. The main result the construction of a Mathematica Package valid to calculate the explicit expression of the Green's function related to the two-point boundary value problem (2. 3), where the nth order linear operator Ln defined on (2. 1) has constant coefficients.

السيرة الشخصية للمؤلف

Nedal Hassan Elbadowi Eljaneid, Abdelradi Abdelrahman Abdelradi, Ragaa Mohammed Haj Ibrahim

 

Nedal Hassan Elbadowi Eljaneid

Faculty of Sciences || University of Tabuk || KSA

Abdelradi Abdelrahman Abdelradi

Faculty of Science and Technology || Omdurman Islamic University || Sudan

Ragaa Mohammed Haj Ibrahim

Faculty of Education || Elzaiem ElAzhary University || Sudan

التنزيلات

منشور

2020-12-30

كيفية الاقتباس

1.
Nedal Hassan Elbadowi Eljaneid, Abdelradi Abdelrahman Abdelradi, Ragaa Mohammed Haj Ibrahim. The Green’s Function Method Solutions to Solve of nth-order Linear Differential Equations: طريقة حلول دالة جرين لحل المعادلات التفاضلية الخطية ذات من الرتبة النونية. jnslas [انترنت]. 30 ديسمبر، 2020 [وثق 6 ديسمبر، 2021];4(4):121-1. موجود في: https://journals.ajsrp.com/index.php/jnslas/article/view/3158

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القسم

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