NUMERICAL APPROACH TO SOLVE SINGULAR INTEGRAL EQUATIONS USING BPFS AND TAYLOR SERIES EXPANSION
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-4-1_008
تاریخ نمایه سازی: 28 دی 1401
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.
Keywords:
Second kind Volterra integral equation , Logarithmic kernel , Taylor series expansion , Block Pulse Function , Continuous function , Mean value theorem
Authors
Ahmad Shahsavaran
Iran, Islamic Republic of
Akbar Shahsavaran
Iran, Islamic Republic of