On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method

Joint Authors

Pashazadeh Atabakan, Z.
Kazemi Nasab, A.
Kiliçman, Adem

Source

Abstract and Applied Analysis

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

Mathematics

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