An Adaptive Approach to Solutions of Fredholm Integral Equations of the Second Kind
Joint Authors
Korkmaz, Nebiye
Güney, Zekeriya
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
As an approach to approximate solutions of Fredholm integral equations of the second kind, adaptive hp-refinement is used firstly together with Galerkin method and with Sloan iteration method which is applied to Galerkin method solution.
The linear hat functions and modified integrated Legendre polynomials are used as basis functions for the approximations.
The most appropriate refinement is determined by an optimization problem given by Demkowicz, 2007.
During the calculations L 2 -projections of approximate solutions on four different meshes which could occur between coarse mesh and fine mesh are calculated.
Depending on the error values, these procedures could be repeated consecutively or different meshes could be used in order to decrease the error values.
American Psychological Association (APA)
Korkmaz, Nebiye& Güney, Zekeriya. 2014. An Adaptive Approach to Solutions of Fredholm Integral Equations of the Second Kind. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014386
Modern Language Association (MLA)
Korkmaz, Nebiye& Güney, Zekeriya. An Adaptive Approach to Solutions of Fredholm Integral Equations of the Second Kind. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1014386
American Medical Association (AMA)
Korkmaz, Nebiye& Güney, Zekeriya. An Adaptive Approach to Solutions of Fredholm Integral Equations of the Second Kind. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014386