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

الموضوعات : فصلنامه ریاضی

Ahmad Shahsavaran ¹ , Akbar Shahsavaran ² , Forough Fotros ³

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

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 20 الجمعة , جمادى الأولى, 1435

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

ملخص المقالة :

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.