Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
Semi-analytical method for solving nonlinear heat diffusion problems in spherical medium
Faculty
Science
Year:
2006
Type of Publication:
Article
Pages:
10-21
Authors:
Abd-el-Malek, MB, Helal, MM
DOI:
10.1016/j.cam.2005.04.065
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
193
Research Area:
Mathematics
ISSN
ISI:000237824200002
Keywords :
heat diffusion, nonlinear problems, spherical medium, finite integral transform, semi-analytical methods
Abstract:
A semi-analytical methodology, based on the finite integral transform technique, is proposed to solve the heat diffusion problem in a spherical medium subject to nonlinear boundary conditions due to radiation exchange at the interface according to the fourth power law. The method proceeds by treating the nonlinearity term in the boundary condition as a source in the differential equation and keeping other conditions unchanged. The results obtained from this semi-analytical solutions are compared with those obtained from a numerical solution developed using an explicit finite difference method, which showed very good agreement. (c) 2005 Elsevier B.V. All rights reserved.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف