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

محورهای موضوعی : فصلنامه ریاضی

Ahmad Shahsavaran ¹ , Akbar Shahsavaran ² , Forough Fotros ³

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

تاریخ دریافت : 1395/01/27 تاریخ پذیرش : 1395/01/27 تاریخ انتشار : 1393/01/01

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

چکیده مقاله :

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.