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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/694043 |
| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |