Open AccessOn The Analytical Solutions of Nonhomogeneous Heat equations
Author(s) -
Mustafa A. Sabri
Publication year - 2022
Publication title -
mağallaẗ kulliyyaẗ al-tarbiyaẗ al-asāsiyyaẗ
Language(s) - English
Resource type - Journals
ISSN - 2706-8536
DOI - 10.35950/cbej.v26i107.5115
Subject(s) - separation of variables , mathematics , heat equation , separation (statistics) , mathematical analysis , partial differential equation , statistics
In this paper, we consider the analytical solution of the Nonhomogeneous mixed problem of the Heat equation. Namely, we use the separation of variables and Duhamel’s principle to derive the formula of the general solution to this problem. Moreover, we find the solution for a special case of this problem as an application to our result