Open AccessThe 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
Author(s) -
Abdelradi Abdelrahman Abdelr Nedal Hassan Elbadowi Eljaneid
Publication year - 2020
Publication title -
mağallaẗ al-ʿulūm al-ṭabīʿiyyaẗ wa-al-ḥayātiyyaẗ wa-al-taṭbīqiyyaẗ
Language(s) - English
Resource type - Journals
ISSN - 2522-3356
DOI - 10.26389/ajsrp.n140720
Subject(s) - order (exchange) , mathematics , linear differential equation , function (biology) , differential (mechanical device) , mathematical analysis , differential equation , physics , economics , thermodynamics , biology , finance , evolutionary biology
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.