Ochanan Nethaji

Thoothukudi

EDUCATION

M.Sc., M. Phil., SET., Ph.D.,

RESEARCH, TEACHING, or OTHER INTERESTS

General Mathematics, Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance

Scopus Publications

Electrochemical modeling of steady-state diffusion-reaction processes with second-order irreversible kinetics
S. Pandi Selvi, O. Nethaji, S. Vinolyn Sylvia, L. Rajendran
International Journal of Electrochemical Science, 2025
This work presents a mathematical model for steady-state mass transport in electrochemical systems involving isotropic diffusion and a second-order irreversible reaction within a porous particle of any geometry. The nonlinear governing equation reflects the interplay between diffusion and nonlinear kinetics, relevant to electrochemical reactors, porous electrodes, and biosensors. Two semi-analytical methods the Rajendran-Joy method (RJM) and Akbari-Ganji method (AGM) are employed to obtain approximate solutions, with trial functions optimized using electrochemical boundary conditions. Numerical simulations confirm the accuracy of the solutions. A parametric study explores the effects of reaction rates, isotropic diffusion, and geometry on concentration profiles, while sensitivity analysis identifies key parameters influencing transport-reaction behaviour. A simple and novel expression for the effectiveness factor, quantifying the interplay between reaction kinetics and mass transport within porous electrodes, is also presented. The results underscore the applicability of mathematical modeling in optimizing electrochemical system performance and advancing the understanding of nonlinear transport phenomena.
BINARY TOPOLOGY BASED ON SOME NEW SETS
M. Vinoth
International Journal of Applied Mathematics, 2025
In this chapter, we introduce and some new sets called binary -open sets, binary -sets, binary -sets, binary -closed sets, binary -sets and binary -sets , which are simple forms of binary open sets in binary topological spaces. Also we characterize these sets and study their related properties with binary open sets. The independence of such as binary pre open sets and binary -closed sets, binary -closed sets and binary -closed sets, binary -open sets and binary -sets are established. Also decomposition of binary -open subset into a binary -open subset and binary pre open sets is arrived. Finally, the notion of a binary kernel is introduced, and its properties are investigated.
NANO JD*-HOMEOMORPHISMS
O. Nethaji, G. Selvi, S. Jackson, V. Thangamayan
South East Asian Journal of Mathematics and Mathematical Sciences, 2023
We discussed nano JD*-Homeomorphisms in nano topological spaces inthis study. We address the fundamental characteristics and noteworthy characterizationsof nano JD*-Homeomorphisms in nano topological spaces. Our analysisdemonstrates how they relate to other ideas already known, such as nano semihomeomorphisms,nano pre-homeomorphisms, and nano g-homeomorphisms.
Decompositions of πg-continuity via ideal nano topological spaces
O. Nethaji, R. Asokan, I. Rajasekara
Advances in Mathematics Scientific Journal, 2020
In this paper, we introduce and discuss some notions of Inπg-closed sets, Inπg-continuity in ideal nano spaces.

RECENT SCHOLAR PUBLICATIONS

Electrochemical modeling of steady-state diffusion-reaction processes with second-order irreversible kinetics
SP Selvi, O Nethaji, SV Sylvia, L Rajendran
International Journal of Electrochemical Science, 101177 , 2025
2025
Citations: 1
International Journal of Applied Mathematics
IRAON E. Veeramalai
International Journal of Applied Mathematics 38 (9s), 2374-2388 , 2025
2025
Forecasting the stock market using ARIMA modeling and foresight
SCPBRK O. Nethaji
Journal of Computational Analysis and Applications 33 (07), 1105-1117 , 2024
2024
SOME NEW PRESERVATION THEOREMS IN AN IDEAL NANOTOPOLOGICAL SPACE
RP O. NETHAJI, S. DEVI, M. RAMESHPANDI
Journal of Science and Arts 24 (02), 279-284 , 2024
2024
NANO JD*-HOMEOMORPHISMS
O Nethaji, G Selvi, S Jackson, V Thangamayan
South East Asian Journal of Mathematics and Mathematical Sciences 19 (02 … , 2023
2023
Citations: 1
BINARY SEMI-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES
SS Malini, O Nethaji, R Premkumar
Journal of Science and Arts 23 (3), 701-706 , 2023
2023
TOPOLOGY BASED ON NEW GENERALIZED CLOSED SETS
O Nethaji, P Jeyalakshmi
Journal of Science and Arts 23 (3), 693-700 , 2023
2023
BINARY α-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES
O NETHAJI, R PREMKUMAR
Bull. Int. Math. Virtual Inst 13 (2), 263-270 , 2023
2023
DECOMPOSITIONS OF NANO g^ sup#^-CONTINUITY VIA IDEALIZATION
O Nethaji, S Devi, M Rameshpandi, RA Premkumar
Journal of Science and Arts 23 (2), 377-380 , 2023
2023
Locally closed sets and g-locally closed sets in binary topological spaces
O Nethaji, R Premkumar
Asia Mathematika 7, 21-26 , 2023
2023
Citations: 3
Nano# g-continuous function in nano topological space
O Nethaji, S Devi, MR Rameshpandi, RP Premkumar
Indian Journal of Natural Sciences 14 (78), 56887-56895 , 2023
2023
Citations: 1
SOME IMPROVISED SETS IN GRILL TOPOLOGICAL SPACES
SJANDNS I. RAJASEKARAN, O. NETHAJI
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 207-211 , 2022
2022
Citations: 6
FUNCTIONS AND IT’S IMPLICATIONS ON c-NANO TOPOLOGICAL SPACE
RAANDON K. S. JENAVEE
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 145-152 , 2022
2022
WEAK KINDS OF AN IDEAL OPEN IN THE MICRO TOPOLOGY
RAON K. S. Jenavee
South East Asian J. of Mathematics and Mathematical Sciences 19, 55-64 , 2022
2022
Connected and Compact Sets in C -Nano Topological Spaces
RAON K. S. Jenavee
Indian Journal of Natural Sciences 13 (74), 49295-49300 , 2022
2022
A NEW METHOD FOR Φn USING GRILLS IN NANO TOPOLOGICAL SPACE
RAON K. S. JENAVEE
Journal of Emerging Technologies and Innovative Research 9 (9), e169-e173 , 2022
2022
On (1, 2)-ˇgα-closed Sets
A Ponmalar, R Asokan, O Nethaji
2022
NEW SEPARATION AXIOMS IN c-NANO TOPOLOGICAL SPACES
KSJRAO Nethaji
Turkish Journal of Computer and Mathematics Education 13 (03), 133-139 , 2022
2022
- -Closed sets and its Properties
RAON A. Ponmalar
Indian Journal of Natural Sciences 13 (71), 40291-40295 , 2022
2022
The Status of Higher Secondary School Laboratories for Quality Education in Case of Krishnagiri, Southern India
ONVT G. Ragukumar, R. Avinash
Indian Journal of Natural Sciences 13 (72), 42418 - 42424 , 2022
2022

MOST CITED SCHOLAR PUBLICATIONS

Simple forms of nano open sets in an ideal nano topological spaces
IRO Nethaji
Journal of new theory, 35-43 , 2018
2018
Citations: 31
On some new subsets of nano topological spaces
IRO Nethaji
journal of new theory, 52-58 , 2017
2017
Citations: 30
New generalized classes of ideal nanotoplogical spaces
RAIR Ochanan Nethaji
BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 9 (3), 543-552 , 2019
2019
Citations: 20
Novel concept of ideal nanotopological spaces
O Nethaji, R Asokan, I Rajasekaran
Asia Mathematika 3 (3), 5-15 , 2019
2019
Citations: 17
On nano πgp-closed sets
TSSRON Ilangovan Rajasekaran
journal of new theory, 20-26 , 2017
2017
Citations: 16
Unified approach of several sets in ideal nanotopological spaces
IRO Nethaji
Asia Mathematika 3 (1), 70-78 , 2019
2019
Citations: 15
Perceptions of several sets in ideal nano topological spaces
ONRPK I. Rajasekaran
Journal of new theory 23, 78-84 , 2018
2018
Citations: 15
On nano gβ-closed sets
I Rajasekaran, M Meharin, O Nethaji
International Journal of Mathematics And its Applications 5 (4-C), 377-382 , 2017
2017
Citations: 15
On nano generalized *-closed sets in an ideal nanotopological space
ONIR R. Asokan
Asia Mathematika 2 (3), 50-58 , 2018
2018
Citations: 10
On new classes of some nano open sets
I Rajasekaran, M Meharin, O Nethaji
International Journal of Pure and Applied Mathematical Sciences 10 (2), 147-155 , 2017
2017
Citations: 10
SOME IMPROVISED SETS IN GRILL TOPOLOGICAL SPACES
SJANDNS I. RAJASEKARAN, O. NETHAJI
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 207-211 , 2022
2022
Citations: 6
An introductory notes to ideal binanotopological spaces
IRO Nethaji
AsiA Mathematika 3 (1), 47-59 , 2019
2019
Citations: 6
On nano ∧g*-closed sets
ONTK Ilangovan Rajasekaran
journal of new theory, 86-93 , 2018
2018
Citations: 5
On nano ∧rg-closed sets
RBON I. Rajasekaran
International Journal of Mathematics And its Applications 5 (4-E), 6 , 2017
2017
Citations: 5
On nano ∧g-closed sets
I Rajasekaran, O Nethaji
Journal of New Theory 17, 38-44 , 2017
2017
Citations: 5
On ω-closed sets in ideal nanotopological spaces
IRO Nethaji
BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 11, 127-134 , 2021
2021
Citations: 4
A new form of some nano sets
O Rajasekaran, Ilangovan and Nethaji
BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 9 (2), 355-360 , 2019
2019
Citations: 4
On nano πgβ-closed sets
MS Joseph, I Rajasekaran, O Nethaji
Global Journal of Pure and Applied Mathematics 14 (1), 181-187 , 2018
2018
Citations: 4
Locally closed sets and g-locally closed sets in binary topological spaces
O Nethaji, R Premkumar
Asia Mathematika 7, 21-26 , 2023
2023
Citations: 3
Nano generalized closed sets depending on ideal
RAIR O. Nethaji
Asia Mathematika 3 (3), 1-4 , 2019
2019
Citations: 2

Publications

, , , :