A Low Memory Solver for Integral Equations of Chandrasekhar Type in the Radiative Transfer Problems
Joint Authors
Abu Hassan, Malik
Leong, Wah June
Waziri, Mohammed Yusuf
Monsi, Mansor
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The problems of radiative transfer give rise to interesting integral equations that must be faced with efficient numerical solver.
Very often the integral equations are discretized to large-scale nonlinear equations and solved by Newton's-like methods.
Generally, these kind of methods require the computation and storage of the Jacobian matrix or its approximation.
In this paper, we present a new approach that was based on approximating the Jacobian inverse into a diagonal matrix by means of variational technique.
Numerical results on well-known benchmarks integral equations involved in the radiative transfer authenticate the reliability and efficiency of the approach.
The fact that the proposed method can solve the integral equations without function derivative and matrix storage can be considered as a clear advantage over some other variants of Newton's method.
American Psychological Association (APA)
Waziri, Mohammed Yusuf& Leong, Wah June& Abu Hassan, Malik& Monsi, Mansor. 2011. A Low Memory Solver for Integral Equations of Chandrasekhar Type in the Radiative Transfer Problems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-473777
Modern Language Association (MLA)
Waziri, Mohammed Yusuf…[et al.]. A Low Memory Solver for Integral Equations of Chandrasekhar Type in the Radiative Transfer Problems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-473777
American Medical Association (AMA)
Waziri, Mohammed Yusuf& Leong, Wah June& Abu Hassan, Malik& Monsi, Mansor. A Low Memory Solver for Integral Equations of Chandrasekhar Type in the Radiative Transfer Problems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-473777
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473777