Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order

In this ‎article‎‎, ‎an ‎ap‎plied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of ‎high order ‎Volterra ‎integro-differential‎ equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with u...

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Bibliographic Details
Main Authors: Mashallah Matinfar, Hamideh Abdollahi Lashaki, Mojgan Akbari
Format: Article
Language:fas
Published: Kharazmi University 2017-11-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-2594-en.html
Description
Summary:In this ‎article‎‎, ‎an ‎ap‎plied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of ‎high order ‎Volterra ‎integro-differential‎ equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical ‎illustrations‎ have been ‎solved‎ to ‎assert‎ the ‎credibility‎ and ‎practically‎ of ‎this‎ ‎method
ISSN:2588-2546
2588-2554