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

Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman
2013 Abstract and Applied Analysis  
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
more » ... lem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method.
doi:10.1155/2013/694043 fatcat:i52hig3iofhvndjby2driscdqu