Initial inverse problem in a two-layer heat conduction model
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section B, Engineering
Issue
Vol. 29, Issue 1B (30 Apr. 2004), pp.3-12, 10 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2004-04-30
Country of Publication
Saudi Arabia
No. of Pages
10
Main Subjects
Abstract AR
سنقوم في هذا البحث بدراسة المعادلة العكسية المتعلقة بمعادلة الحرارة حيث تتضمن استعادة توزيع الحرارة الابتدائية في نموذج ذي طبقـتين من المعلومات الآتية من الحرارة النهائية لصورة الجانبية.
و قد جدنا تمثيلا تكامليا لهذه المعضلة مكـننا من إيجاد قانون للحرارة الابتدائية باستخدام شرط بيكارد, و كذلك النظام الفردي للدالة المتعلقة بالمسألة.
Abstract EN
We investigate the inverse problem associated with the heat equation involving recovery of initial temperature distribution in a two-layered model from the information of final temperature profile.
An integral representation for the problem is found, from which a formula for initial temperature is derived using Picard’s criterion and the singular system of the associated operators.
American Psychological Association (APA)
Masud, Khalid& Zaman, F. D.. 2004. Initial inverse problem in a two-layer heat conduction model. The Arabian Journal for Science and Engineering. Section B, Engineering،Vol. 29, no. 1B, pp.3-12.
https://search.emarefa.net/detail/BIM-360042
Modern Language Association (MLA)
Masud, Khalid& Zaman, F. D.. Initial inverse problem in a two-layer heat conduction model. The Arabian Journal for Science and Engineering. Section B, Engineering Vol. 29, no. 1B (Apr. 2004), pp.3-12.
https://search.emarefa.net/detail/BIM-360042
American Medical Association (AMA)
Masud, Khalid& Zaman, F. D.. Initial inverse problem in a two-layer heat conduction model. The Arabian Journal for Science and Engineering. Section B, Engineering. 2004. Vol. 29, no. 1B, pp.3-12.
https://search.emarefa.net/detail/BIM-360042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 12
Record ID
BIM-360042