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Error Estimation for Approximate Solutions of Delay Volterra Integral Equations

Authors :
Oktay Duman
Anastassiou, George A.
Rassias, John Michael
TOBB ETU, Faculty of Science and Literature, Depertment of Mathematics
TOBB ETÜ, Fen Edebiyat Fakültesi, Matematik Bölümü
Duman, Oktay
Source :
Frontiers in Functional Equations and Analytic Inequalities ISBN: 9783030289492
Publication Year :
2019
Publisher :
Springer International Publishing, 2019.

Abstract

This work is related to inequalities in the approximation theory. Mainly, we study numerical solutions of delay Volterra integral equations by using a collocation method based on sigmoidal function approximation. Error estimation and convergence analysis are provided. At the end of the paper we display numerical simulations verifying our results.

Details

ISBN :
978-3-030-28949-2
ISBNs :
9783030289492
Database :
OpenAIRE
Journal :
Frontiers in Functional Equations and Analytic Inequalities ISBN: 9783030289492
Accession number :
edsair.doi.dedup.....4556c4d32d9289a8984b568302618461