On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
Joint Authors
Pashazadeh Atabakan, Z.
Kazemi Nasab, A.
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points.
Composite Chebyshev finite difference method is indeed an extension of the Chebyshev finite difference method and can be considered as a nonuniform finite difference scheme.
The main advantage of the proposed method is reducing the given problem to a set of algebraic equations.
Some examples are given to approve the efficiency and the accuracy of the proposed method.
American Psychological Association (APA)
Pashazadeh Atabakan, Z.& Kazemi Nasab, A.& Kiliçman, Adem. 2013. On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491153
Modern Language Association (MLA)
Pashazadeh Atabakan, Z.…[et al.]. On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-491153
American Medical Association (AMA)
Pashazadeh Atabakan, Z.& Kazemi Nasab, A.& Kiliçman, Adem. On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491153
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491153