Numerical implementation of an expansion method for linear Volterra integral equations of the second kind with weakly singular kernels

International Journal of Applied Mathematics and Computation

Esmail Babolian²  Ahmad Shahsavaran¹ 

[1] Islamic Azad University$$;Tarbiat Moallem University$$

关键词: Singular integral equations;    Block-Pulse Function;    Taylor expansion;    Error analysis;   

DOI  :  10.0000/ijamc.2011.3.1.221

来源: PSIT Kanpur

【 摘 要 】

This paper concentrates on solving linear Volterra integral equations with weakly singular kernel based on approximating of unknown function in terms of Block Pulse Functions and Taylor series expansion of singular part. Error analysis is worked out that shows efficiency of presented method. The method is applied to some numerical examples.

【 授权许可】

Unknown