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On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method


Citation

Atabakan, Zohreh Pashazadeh and Nasab, Aliasghar Kazemi and Kilicman, Adem (2013) On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method. Abstract and Applied Analysis, 2013. art. no. 694043. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2013/694043
Publisher: Hindawi Publishing Corporation
Keywords: Fredholm-integro differential equations; Wavelets
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 01:04
Last Modified: 19 Oct 2017 05:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/694043
URI: http://psasir.upm.edu.my/id/eprint/30128
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