NUMERICAL APPROACH TO SOLVE SINGULAR INTEGRAL EQUATIONS USING BPFS AND TAYLOR SERIES EXPANSION

Subject Areas : International Journal of Mathematical Modelling & Computations

Ahmad Shahsavaran ¹ , Akbar Shahsavaran ² , Forough Fotros ³

1 - Iran, Islamic Republic of
2 - Iran, Islamic Republic of
3 -

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: Second kind Volterra integral equation, Logarithmic kernel, Taylor series expansion, Block Pulse Function, Continuous function, Mean value theorem,

Abstract :

In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis shows efficiency and applicability of the presented method. Finally, some numerical examples with exact solution are given.