I am Dr. V. Ananthawamy, working as Associate Professor Mathematics, The Madura College. Madurai, Tamil Nadu, India. My research areas are Applied Mathematics like: Differential equations, Nonlinear reaction diffusion equations, Mathematical Biology, etc. I have published more than 133 research articles in Reputed Intentional Journals . Currently I am Editor/Editor-in-chief/Advisory Board Member/Editorial Board Member/Reviewer in 225 reputed International Journals and 217 Reputed National Journals. I have completed one Minor research project. I have produced 29 M. Phil., Scholars and 7 Ph.D., research scholars. Currently there are 10 research scholars are doing their Ph.D., research work under my guidance.
EDUCATION
M. Sc., M. Phil., Ph.D.,
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics, Computational Mathematics, Mathematical Physics, Modeling and Simulation
A semi-analytical investigation on the finite boundary value problem for the effects of Magnetohydrodynamic and non-Newtonian nanofluid flow Mathematics in Engineering Science and Aerospace, 2026
A comparative study of semi-analytical study of semi-analytical methods for initial value problems in Prey-Predator models Mathematics in Engineering Science and Aerospace, 2026
A semi-analytical study on the investigation of magnetohydrodynamic flow of Sutterby nanofluid Mathematics in Engineering Science and Aerospace, 2026
A Semi-analytical Approach for Solving Nonlinear Initial-Value Problem in Michaelis–Menten Enzymatic Reaction Model V. C. Shalini, V. Ananthaswamy, J. Anantha Jothi New Mathematics and Natural Computation, 2026 The current study examines an earlier mathematical description of the Michaelis–Menten enzymatic reaction (MMER) framework. The synthesis of the complex is found to be directly correlated with the substrate concentration and reaction rate. In this case, the Laplace Adomian Decomposition method (LADM) is implemented to calculate the analytical approximation for the substrate concentrations. Unlike many earlier models that primarily relied on numerical simulation or simplified linear assumptions, this study provides explicit analytical expressions for substrate concentrations. The approach effectively manages the inherent nonlinearity of the governing equations, offering tractable expressions for system behavior. Also, it is applicable to handle the nonlinear terms systematically using the Adomian polynomial, namely the concentration of enzyme and substrate, which impact all concentrations. A contrast between the numerical simulation and the approximate analytical approach is given. Also, it is given in tabular form and graphical illustration; it shows a strong correlation. It offers valuable insights for how critical parameters like rate of reactions impact the concentrations. The findings are expected to have direct relevance to industrial and environmental applications, biofuels, and wastewater treatment.
Mathematical Analysis of the Non-linear Differential Equation in an Annular Fin G. Petchiammal, S. Sivasankari, V. Ananthaswamy, V. K. Santhi Discontinuity Nonlinearity and Complexity, 2026 The mathematical modeling and analysis of radial annular fins exposed to heat radiation in a porous medium is the main focus of this work. The transformed, non-dimensional temperature equation is resolved utilizing a recently developed approximate analytical method, yielding a semi-analytical solution. An understandable format is used to display the temperature profile expression that is produced. By contrasting the outcomes with both numerical solution and current semi-analytical technique, the accuracy of the suggested method is assessed. The consistency and dependability of this comparison are very high. Graphical representations are provided to further highlight the importance of several physical parameters, including thermal conductivity, radiation effects, and heat transmission coefficients. Radiation and convection factors elevate the temperature while the internal heat generation factor elevates the fin efficiency. These visuals help people understand how the system works in different situations. Also, the fins' thermal performance is measured by calculating the fin efficiency, which is also shown in a graph to support up the study's semi-analytical results.
A semi-analytical investigation on the system of non-linear differential equations in MHD stagnation-point flow Nonlinear Studies, 2025
A semi-analytical study of the SEIR model for Hepatitis B disease in Ambon city Mathematics in Engineering Science and Aerospace, 2025
A semi-analytical method for solving the non-linear differential equation of a completely wet trapezoidal fin Mathematics in Engineering Science and Aerospace, 2025
A new approximate analytical method (ASM) for solving some non-linear boundary value problems Mathematics in Engineering Science and Aerospace, 2024
A semi-analytical expression of heat transfer equation using a new approximate analytical approach Nonlinear Studies, 2024
A mathematical study on the typhoid disease model Mathematics in Engineering Science and Aerospace, 2024
A mathematical study on the transmission dynamics of Hepatitis A virus Mathematics in Engineering Science and Aerospace, 2024
A mathematical study on non-linear initial-boundary value problem for R-D equation Nonlinear Studies, 2024
A semi-analytical study on entropy generation of Eyring-Powell fluid flow through a Microchannel Mathematics in Engineering Science and Aerospace, 2024
A mathematical analysis of non-linear reaction-diffusion equations in electro chemical sciences Nonlinear Studies, 2024
A new approximate analytical method for solving some non-linear initial value problems in physical sciences Mathematics in Engineering Science and Aerospace, 2023
A mathematical study on entropy analysis for boundary layer micropolar fluid flow Nonlinear Studies, 2023
Semi analytical expressions of a non-linear boundary value problem for immobilized enzyme in porous planar, cylindrical and spherical Nonlinear Studies, 2023
Application of Akbari- Ganji’s method in solving the standard Gray-Scott model Mathematics in Engineering Science and Aerospace, 2023
A mathematical study on non-liner steady state reaction-diffusion equations in transport and kinetics at carbon nanotube Nonlinear Studies, 2023
A mathematical analysis of transport and kinetics in electrocatalytic thin film biosensors with non-Michaelis-Menten kinetics Mathematics in Engineering Science and Aerospace, 2023
A new approximate analytical method (ASM) for solving non-linear boundary value problem in heat transfer through porous fin Mathematics in Engineering Science and Aerospace, 2023
Semi analytical expressions of a non-linear boundary value problem for free stream MHD flow with the effect of velocity slip condition Mathematics in Engineering Science and Aerospace, 2022
Semi-analytical solution to a system of non-linear differential equations involving non-Michaelis-Menten parameters using a new approach to Homotopy perturbation method Nonlinear Studies, 2022
Semi analytical solution to a SIR model using new approach to homotopy perturbation method Mathematics in Engineering Science and Aerospace, 2022
Mathematical analysis of a coupled non-linear reaction-diffusion systems Nonlinear Studies, 2021
Mathematical analysis of a Navier slip on entropy generation Nonlinear Studies, 2021
Analytical solution for the nonlinear differential equations in kinetic modelling of fermentative hydrogen production using new homotopy perturbation method Mathematics in Engineering Science and Aerospace, 2021
Application of new approach to homotopy perturbation method in solving a system of nonlinear self-igniting reaction diffusion equations Mathematics in Engineering Science and Aerospace, 2021
A mathematical study on magnetohydrodynamic permeable channel flow Mathematics in Engineering Science and Aerospace, 2021
Exact solution of convective heating on entropy generation rate Advances in Mathematics Scientific Journal, 2019
Mathematical modeling for solving nonlinear boundary value problem for the phenol hybrid bio reactor Advances in Mathematics Scientific Journal, 2019
Approximate analytical solution for non-linear reaction diffusion equations in a urea biosensor involving Michaelis –menten kinetics Advances in Mathematics Scientific Journal, 2019
Semi-analytical solution for amperometric enzyme electrode Modelling with substrate cyclic conversion using a new approach to homotopy perturbation method Advances in Mathematics Scientific Journal, 2019
A mathematical analysis of heat and mass transfer on MHD boundary layer flow Advances in Mathematics Scientific Journal, 2019
A mathematical study on MHD boundary layer flow of nanofluid and heat transfer over a porous exponentially stretching sheet Advances in Mathematics Scientific Journal, 2019
Mathematical analysis of heat and mass transfer effects on steady mhd flow Advances in Mathematics Scientific Journal, 2019
Mathematical analysis on the effect of chemical reaction on mass transfer over a stretching surface embedded in a porous medium Advances in Mathematics Scientific Journal, 2019
Approximate analytical solution of a differential equation model in HIV infection of CD4+ T- cells using HPM Nonlinear Studies, 2018
Analytical expressions for heat transfer and entropy generation in a pipe flow using homotopy analysis method Arpn Journal of Engineering and Applied Sciences, 2015
Approximate analytical solution of non-linear kinetic equation in a porous pellet Global Journal of Pure and Applied Mathematics, 2012
RECENT SCHOLAR PUBLICATIONS
A Semi-analytical Approach for Solving Nonlinear Initial-Value Problem in Michaelis–Menten Enzymatic Reaction Model VC Shalini, V Ananthaswamy, J Anantha Jothi New Mathematics and Natural Computation, 1-19 , 2026 2026
A semi-analytical study on Hepatitis A virus transmission in Indonesia A Maheswari, V Ananthaswamy, J Anantha Jothi Iranian Journal of Numerical Analysis and Optimization , 2026 2026
A mathematical study on infinite boundary value problem for MHD flow of a micropolar nanofluid V Ananthaswamy, S Punitha Computational Methods for Differential Equations 14 (2), 701-720 , 2026 2026 Citations: 1
A comparative study of semi-analytical methods for initial value problems in Prey-Predator models A Maheswari, V Ananthaswamy, JA Jothi, S Sivasundaram MESA 17 (1), 65-86 , 2026 2026
A novel semi-analytical method for solving infinite non-linear boundaryvalue problem in magnetohydrodynamic fluid flow CG Lakshmi, V Ananthaswamy, VK Santhi, S Sivasundaram Nonlinear Studies 33 (1), 113-134 , 2026 2026
A Semi-analytical study on the investigation of magnetohydrodynamic flow of Sutterby Nanofluid G Petchiammal, M Sumathi, V Ananthaswamy, S Sivasudaram, VK Santhi MESA 17 (1), 251-269 , 2026 2026
A mathematical study on reaction-diffusion model in biomedicine V Ananthaswamy, J Anantha Jothi, M Subha Journal of Mathematical Modeling , 2026 2026
A Semi-Analytical Study on SEIR Model with Vaccinated Effects V Ananthaswamy, B Sathyapriya, M Shruthi Journal of Nonlinear Modeling and Analysis 8 (2), 338-367 , 2026 2026
Different semi-analytical methods for solving a non-linear initial value problem of an epidemic model. M Shruthi, V Ananthaswam, S Sivasundaram Nonlinear Studies 33 (1), 389 , 2026 2026
A Mathematical Study on Non-linear Simultaneous Differential Equations of Blood-Based Casson Nanofluid CG Lakshmi, V Ananthaswamy, S Sivasankari, M Subha Discontinuity, Nonlinearity, and Complexity 14 (04), 719-730 , 2025 2025
Approximate analytical study on Maxwell and Williamson nanofluid flow V Ananthaswamy, M Kalaivani, S Sivasankari Computational Methods for Differential Equations , 2025 2025
A semi-analytical investigation of the system of non-linear differential equations in MHD stagnation-point flow SS M. Kalaivani, S. Sivasankari. V. Ananthaswamy, V.K. Santhi Nonlinear Studies 32 (4), 1293-1308 , 2025 2025
A semi-analytical study of the SEIR model for Hepatitis B disease in Ambon city VKS S. Meenakshi, V. Ananthaswamy, J. Anantha Jothi, Seenith Sivasundaram Mathematics in Engineering, Science and Aerospace 16 (4), 1161-1177 , 2025 2025
Semi-analytical investigation on a mixed boundary value problem in Magnetohydrodynamic fluid flow P Muthumeena, V Ananthaswamy Computational Methods for Differential Equations , 2025 2025
A mathematical study on non-linear differential equations in dual biosensor. JA Jothi, V Ananthaswamy, S Sivasundaram Mathematics in Engineering, Science & Aerospace (MESA) 16 (3) , 2025 2025
A semi-analytical study of a non-linear initial value problem for the measles disease model. S Meenakshi, V Ananthaswamy, M Subha, M Shruthi, S Sivasundaram Mathematics in Engineering, Science & Aerospace (MESA) 16 (3) , 2025 2025
A mathematical study on non-linear differential equations in dual biosensor V Ananthaswamy, JA Jothi, S Sivasundaram MESA 16 (3), 709-731 , 2025 2025
A novel semi-analytical method for solving magneto hydrodynamic problem in physical science. VC Shalini, V Ananthaswamy, VC Sharmila, S Sivasankari, ... Nonlinear Studies 32 (3) , 2025 2025
A Mathematical Study on Non-linear Boundary Value problem for Magnetohydrodynamic Fluid Flow M Kalaivani, V Ananthaswamy Scientia Iranica , 2025 2025
Mathematical analysis of COVID-19 disease in Malaysia using SIRS model. S Meenakshi, V Ananthaswamy, JA Jothi, S Sivasundaram Nonlinear Studies 32 (2) , 2025 2025 Citations: 1
MOST CITED SCHOLAR PUBLICATIONS
Analytical solutions of the concentration of sugar and glucosefor enzymatic hydrolysis process RS V. Ananthaswamy, K. Renganathan Materials Today: Proceedings 37, 298-302 , 2021 2021 Citations: 101
Analytical solutions of some two-point non-linear elliptic boundary value problems V Ananthaswamy, L Rajendran Applied Mathematics 3, 1044-1058 , 2012 2012 Citations: 29
Expository articulation of non-steady state non-linear solutions of concentration utilizing homotopy perturbation method K Renganathan, V Ananthaswamy, C Thangapandi, R Srinivasan IOSR Journal of Engineering, IQSR Publications, 58-66 , 2018 2018 Citations: 27
Analytical Solution of Nonlinear Boundary Value Problem for Fin Efficiency of Convective Straight Fins with Temperature‐Dependent Thermal Conductivity K Saravanakumar, V Ananthaswamy, M Subha, L Rajendran International Scholarly Research Notices 2013 (1), 282481 , 2013 2013 Citations: 23
Analytical Solution of Non‐Isothermal Diffusion‐Reaction Processes and Effectiveness Factors V Ananthaswamy, L Rajendran International Scholarly Research Notices 2013 (1), 487240 , 2013 2013 Citations: 23
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method D Shanthi, V Ananthaswamy, L Rajendran Natural Science 5 (9), 1034-1046 , 2013 2013 Citations: 22
Simple Analytical Expressions of the Non-Linear Reaction Diffusion Process in an Immobilized Biocatalyst Particle using the New Homotopy Perturbation Method V Ananthaswamy, R Shanthakumari, M Subha Review of Bioinformatics and Biometrics 3, 22-28 , 2014 2014 Citations: 20
Approximate analytical solution of non-linear kinetic equation in a porous pellet V Ananthaswamy, L Rajendran Global Journal of pure and applied mathematics 8 (2), 101-111 , 2012 2012 Citations: 20
A comparison among the Homotopy based methods in solving a system of cubic autocatalytic reaction-diffusion equations SN V. Ananthaswamy Journal of Information and Computational Science 9 (12), 1130-1141 , 2019 2019 Citations: 19
Semi-analytical Solution for Surface Coverage Model in an Electrochemical Arsenic Sensor Using a New Approach to Homotopy Perturbation Method SN V. Ananthaswamy International Journal of Modern Mathematical Sciences 17 (2), 85-110 , 2019 2019 Citations: 19
Mathematical analysis of prey predator system with immigrant prey using a new approach to Homotopy perturbation method SN K. Renganathan, V. Ananthaswamy Materials Today: Proceedings 37, 1183-1189 , 2021 2021 Citations: 16
Analytical solution of two-point non-linear boundary value problems in a porous catalyst particles V Ananthaswamy, L Rajendran International Journal of Mathematical Archive 3 (3), 810-821 , 2012 2012 Citations: 16
SEMI-ANALYTICAL SOLUTION FOR AMPEROMETRIC ENZYME ELECTRODE MODELLING WITH SUBSTRATE CYCLIC CONVERSION USING A NEW APPROACH TO HOMOTOPY PERTURBATION METHOD VA S. Narmatha Advances in Mathematics: Scientific Journal 8 (3), 239-265 , 2019 2019 Citations: 15
Thermal Stability Analysis of Reactive Hydromagnetic Third-grade Fluid using Homotopy Analysis Method LSA V. Ananthaswamy International Journal of Modern Mathematical Sciences 14 (1), 25-41 , 2016 2016 Citations: 15
Analytical Expression for the Hydrodynamic Fluid Flow through a Porous Medium SUM V. Ananthaswamy International Journal of Automation and Control Engineering 4 (2), 67-76 , 2015 2015 Citations: 14
Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturbation method V Ananthaswamy, S Ganesan, L Rajendran International Journal of Applied Sciences and Engineering Research (IJASER … , 2013 2013 Citations: 14
Application of new homotopy perturbation method in solving a simple predator prey model with rich dynamics B Seethalakshmi, V Ananthaswamy, S Narmatha Advances and Applications in Mathematical Sciences 21 (4), 2015-2025 , 2022 2022 Citations: 13
Mathematical Analysis of Reversible Inhibitor Biosensor Systems in Dynamic Mode SN V. Ananthaswamy Singapore Journal of Scientific Research 10 (3), 229-265 , 2020 2020 Citations: 13
COMPARISON BETWEEN THE NEW HOMOTOPY PERTURBATION METHOD AND MODIFIED ADOMAIN DECOMPOSITION METHOD IN SOLVING OF A SYSTEM OF NONLINEAR SELF IGNITING REACTION DIFFUSION EQUATIONS SN V. Ananthaswamy Journal of Emerging Technologies and Innovative Research (JETIR) 6 (5), 51 - 59 , 2019 2019 Citations: 13
Analytical expressions of the effect of radiation on free convective flow of heat and mass transfer V Ananthaswamy, T Iswarya Nonlinear studies 23 (1), 133-147 , 2016 2016 Citations: 13