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

• Main Authors: Atabakan, Zohreh Pashazadeh, Nasab, Aliasghar Kazemi, Kilicman, Adem
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf; http://psasir.upm.edu.my/id/eprint/30128/; https://www.hindawi.com/journals/aaa/2013/694043/abs/

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.