On solution of Fredholm integrodifferential equations using composite chebyshev finite difference method
Atabakan, Z. Pashazadeh and Nasab, A. 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
Official URL: http://www.hindawi.com/journals/aaa/2013/694043/
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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