On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
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 exte...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/694043 |
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| _version_ | 1832558221978501120 |
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| author | Z. Pashazadeh Atabakan A. Kazemi Nasab A. Kılıçman |
| author_facet | Z. Pashazadeh Atabakan A. Kazemi Nasab A. Kılıçman |
| author_sort | Z. Pashazadeh Atabakan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-16ece159b6ab45b59bfcf3d576ddd75f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-16ece159b6ab45b59bfcf3d576ddd75f2025-02-03T01:32:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/694043694043On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference MethodZ. Pashazadeh Atabakan0A. Kazemi Nasab1A. Kılıçman2Department of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaA 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.http://dx.doi.org/10.1155/2013/694043 |
| spellingShingle | Z. Pashazadeh Atabakan A. Kazemi Nasab A. Kılıçman On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method Abstract and Applied Analysis |
| title | On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method |
| title_full | On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method |
| title_fullStr | On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method |
| title_full_unstemmed | On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method |
| title_short | On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method |
| title_sort | on solution of fredholm integrodifferential equations using composite chebyshev finite difference method |
| url | http://dx.doi.org/10.1155/2013/694043 |
| work_keys_str_mv | AT zpashazadehatabakan onsolutionoffredholmintegrodifferentialequationsusingcompositechebyshevfinitedifferencemethod AT akazeminasab onsolutionoffredholmintegrodifferentialequationsusingcompositechebyshevfinitedifferencemethod AT akılıcman onsolutionoffredholmintegrodifferentialequationsusingcompositechebyshevfinitedifferencemethod |