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Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions

Anirban Mukhopadhyay1 , Anindita Ganguly2 , Saumya Deep Chatterjee3

Section:Research Paper, Product Type: Journal Paper
Volume-04 , Issue-06 , Page no. 86-91, Aug-2016

Online published on Sep 03, 2016

Copyright © Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee, “Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions,” International Journal of Computer Sciences and Engineering, Vol.04, Issue.06, pp.86-91, 2016.

MLA Style Citation: Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee "Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions." International Journal of Computer Sciences and Engineering 04.06 (2016): 86-91.

APA Style Citation: Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee, (2016). Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions. International Journal of Computer Sciences and Engineering, 04(06), 86-91.

BibTex Style Citation:
@article{Mukhopadhyay_2016,
author = {Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee},
title = {Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {8 2016},
volume = {04},
Issue = {06},
month = {8},
year = {2016},
issn = {2347-2693},
pages = {86-91},
url = {https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=128},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=128
TI - Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions
T2 - International Journal of Computer Sciences and Engineering
AU - Anirban Mukhopadhyay, Anindita Ganguly , Saumya Deep Chatterjee
PY - 2016
DA - 2016/09/03
PB - IJCSE, Indore, INDIA
SP - 86-91
IS - 06
VL - 04
SN - 2347-2693
ER -

           

Abstract

We have expounded a new simple algorithm to solve non-linear Volterra integral equations via HF and drawn a comparative study between HF and TF in solving two classes of Volterra integral equations, i.e. Volterra integral equation of 2nd kind and Volterra-Hammerstein equation. To exemplify the usability of this algorithm we have dealt an optimal control problem of a deterministic system via this algorithm.

Key-Words / Index Term

Non-linear Volterra Integral Equations of 2nd Kind, Non-linear Volterra-Hammerstein Equations, Hybrid Functions, Triangular Functions, Optimal control, Cost function.

References

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