About
Professional SummaryDr. V. Ananthaswamy is currently working as Associate Professor of Mathematics, The Madura College, Madurai, Tamil Nadu, India.He has more than 23 years of Teaching and 11 years of Research experiences.He has published more than 133 research articles.He has produced 29 MPhil and 7 Ph.D., Research scholars under his guidance. There are 10 research scholars doing their Ph.D., under his guidance.
Education
Academic Background-
Ph.D. Madurai Kamaraj University, Madurai, Tamil Nadu, India Mathematics | Completed: 2013
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M.Phil. Madurai Kamaraj University, Madurai, Tamil Nadu, India Mathematics | Completed: 2002
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M.Sc. The Madura College (Autonomous), India Mathematics | Completed: 2000
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B.Sc. The Madura College (Autonomous), India Mathematics | Completed: 1998
Publications (97)
Selected Scholarly Contributions
A Semi-analytical Approach for Solving Nonlinear Initial-Value Problem in Michaelis–Menten Enzymatic Reaction Model
2026
2025
A Semi-Analytical Study on Non-Linear Differential Equations in Typhoid Fever Disease
2024
2024
A Semi-Analytical Study on Multiscale Porous Biocatalytic Electrodes in the Enzyme Reaction Process
2024
Approximate Analytical Study on a System of Non-Linear Partial Differential Equations in Chemical Science
2024
A New Semi Analytical Method for Solving Some Non-Linear Infinite Boundary Value Problems in Physical Sciences
2023
Approximate Analytical Solution to a Pore Network Model of Deactivation of Immobilized Glucose Isomerase in Packed-Bed Reactors Using Akbari-Ganji’s Method
2022
Semi-analytical solution for surface coverage model in an electrochemical arsenic sensor using a new approach to Homotopy perturbation method.
Vembu Ananthaswamy
2019
A mathematical study on non-linear MHD boundary layer past a porous shrinking sheet with suction.
Vembu Ananthaswamy
2019
An analytical study on entropy generation in the poiseuille flow of a temperature dependent viscosity through a channel.
Vembu Ananthaswamy
2019
Approximate analytical expressions of non-linear boundary value problem for a boundary layer flow using the Homotopy analysis method.
Vembu Ananthaswamy
2019
Comparison between the Homotopy perturbation method and modified Adomain decomposition method in solving a system if non-linear self igniting reaction diffusion equations.
Vembu Ananthaswamy
2019
Analytical expressions for heat generating hydromagnetic fluid flow in a porous medium using homotopy analysis method.
Vembu Ananthaswamy
2019
Approximate analytical expressions of a boundary layer flow of viscous fluid using the modified Homotopy analysis method.
Vembu Ananthaswamy
2019
A mathematical study on MHD plane poiseuille flow in a porous channel with non-uniform plate temperature.
Vembu Ananthaswamy
2019
Chemical reaction and heat source effects on steady MHD oscillatory flow.
Vembu Ananthaswamy
2019
A mathematical study on MHD mixed convection channel flow of nanofluid.
Vembu Ananthaswamy
2018
A mathematical study of entropy generation group based on the impact of suction/injection.
Vembu Ananthaswamy
2018
Mathematical study of MHD porous channel flow using the homotopy analysis method.
Vembu Ananthaswamy
2018
Expository articulation of non-steady state non-linear solutions of concentration utilizing Homogony perturbation method.
Vembu Ananthaswamy
2018
Approximate analytical solution of a differential equation model in HIV infection of CD4+ T-cells using HPM.
Vembu Ananthaswamy
2018
A mathematical study on MHD viscous due to a shrinking sheet.
Vembu Ananthaswamy
2017
Analytical expression of a steady MHD oscillatory slip flow.
Vembu Ananthaswamy
2017
Approximate analytical solution for MHD flow over a non-linear porous stretching sheet.
Vembu Ananthaswamy
2017
Mathematical study on thermodynamic second law for a gravity –driven viscosity liquid film using homotopy analysis method.
Vembu Ananthaswamy
2017
Mathematical analysis of steady boundary layer flow and heat transfer of a viscous incompressible fluid using homotopy analysis method.
Vembu Ananthaswamy
2017
Analytical expressions of a steady MHD viscous incompressible fluid flow through a porous planner channel.
Vembu Ananthaswamy
2017
Analytical expression to the steady viscous flow of a micropolar fluid driven by injection between two porous disks.
Vembu Ananthaswamy
2016
Mathematical analysis of MHD flow of an optically thin viscous fluid through a channel.
Vembu Ananthaswamy
2016
Mathematical analysis of variable viscosity fluid flow through a channel and Homotopy analysis method.
Vembu Ananthaswamy
2016
Improved upper bound on the number of minimal dominating sets in pendant graphs.
Vembu Ananthaswamy
2016
Mathematical expressions of heat transfer to MHD oscillatory flow and Homotopy analysis method.
Vembu Ananthaswamy
2016
Analytical solution of non-linear boundary value problem for MHD flow.
Vembu Ananthaswamy
2016
On relating vertex covers and dominating sets in simple connected graphs.
Vembu Ananthaswamy
2016
Mathematical study of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet.
Vembu Ananthaswamy
2016
Mathematical expressions of mamillary model of four compartments.
Vembu Ananthaswamy
2016
Mathematical analysis of an allosteric activation of an enzyme.
Vembu Ananthaswamy
2016
Mathematical expressions of entropy generation in a variable viscosity MHD channel flow.
Vembu Ananthaswamy
2016
Analytical expressions of non-linear boundary value problems in MHD boundary layer flow.
Vembu Ananthaswamy
2016
A mathematical study of heat and mass transfer on non-linear MHD boundary layer flow.
Vembu Ananthaswamy
2016
Simple analytical expression of non-linear heat transfer equation by new Homotopy perturbation method.
Vembu Ananthaswamy
2016
Mathematical analysis of MHD Falkner-Skan flow of Maxwell fluid and Homotopy analysis method.
Vembu Ananthaswamy
2016
Analytical expressions of the variable viscosity MHD Couette flow with permeable walls using Homotopy analysis method.
Vembu Ananthaswamy
2016
Analytical expressions of the effect of radiation on free convective flow of heat and mass transfer.
Vembu Ananthaswamy
2016
Analytical expressions of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction.
Vembu Ananthaswamy
2016
Analytical expressions for combined effect of Buoyancy force.
Vembu Ananthaswamy
2016
A study on MHD Jeffery-Hamel flow in nano fluids using new Homotopy analysis method.
Vembu Ananthaswamy
2016
Analytical expressions for steady MHD boundary layer flow over a stretching surface.
Vembu Ananthaswamy
2016
Analytical expressions of radiative effects on steady free convective flow.
Vembu Ananthaswamy
2016
A study on MHD boundary layer flow over a non-linear stretching sheet using modified Homotopy analysis method.
Vembu Ananthaswamy
2016
Analytical expressions of the thermal boundary-layer over a flat plate with a convective surface boundary condition.
Vembu Ananthaswamy
2016
An algorithm to enumerate the minimal transversals of a hypergraph without redundancy or regeneration.
Vembu Ananthaswamy
2016
Thermal stability analysis of reactive hydromagnetic third-grade fluid using Homotopy analysis method.
Vembu Ananthaswamy
2016
Simple analytical expressions for mth order and Langmuir rate equations in spherical coordinates.
Vembu Ananthaswamy
2015
Analytical expression for the hydrodynamic fluid flow through a porous medium.
Vembu Ananthaswamy
2015
Analytical expression for compartment mathematical model of liver.
Vembu Ananthaswamy
2015
Analytical expressions for heat transfer and entropy generation in a pipe flow using homotopy analysis method.
Vembu Ananthaswamy
2015
Analytical expressions of reactive fully developed flow of an incompressible, thermodynamically compatible fluid
Vembu Ananthaswamy
2015
Analytical expression of nonlinear partial differential equations in mediated electrochemical induction of chemical reaction.
Vembu Ananthaswamy
2015
Simple analytical expression of steady state substrate concentration in the biosensor response.
Vembu Ananthaswamy
2015
Nonlinear analysis of malaria epidemics.
Vembu Ananthaswamy
2015
Mathematical analysis of information dissemination model for social networking services.
Vembu Ananthaswamy
2015
Analytical expression of rotating chemical waves in the Gray-Scott model.
Vembu Ananthaswamy
2015
Simple analytical expression of temperature in microwave heating model in an infinite slab: MNDHPM.
Vembu Ananthaswamy
2015
Analytical expressions of entropy generation in a variable viscosity fluid flow using the homotopy perturbation method.
Vembu Ananthaswamy
2014
Mathematical modeling and analysis of solid cancer growth with angiogenesis.
Vembu Ananthaswamy
2014
Analytical expression for the steady state concentration of the species of an enzyme containing polymer modified electrode.
Vembu Ananthaswamy
2014
Approximate analytical solution of the steady-state concentration of mediator and current.
Vembu Ananthaswamy
2014
Simple analytical expressions of steady state concentration and flux in immobilized glucose isomerase of packed-bed reactors.
Vembu Ananthaswamy
2014
Application of the Homotopy perturbation method to the steady state Brusselator model.
Vembu Ananthaswamy
2014
Nonlinear analysis of cholera epidemics.
Vembu Ananthaswamy
2014
Analytical expressions for exothermic explosions in a slab.
Vembu Ananthaswamy
2014
Comparison of homotopy perturbation method and recursive procedure for commensal-host ecological model with replenishment rate for both the species.
Vembu Ananthaswamy
2014
Simple analytical expressions of the non-linear reaction diffusion process in an immobilized biocatalyst particle using the New Homotopy perturbation method.
Vembu Ananthaswamy
2014
A simple analytical expression of a non-linear boundary value problem for an immobilized oxidase enzyme electrode using the new homotopy perturbation method.
Vembu Ananthaswamy
2014
Approximate analytical solution of nonlinear boundary value problem in thermal engineering problems using Homotopy Analysis method.
Vembu Ananthaswamy
2014
Approximate analytical solution of thermal criticality for a reactive third-grade liquid in a channel with isothermal walls: Homotopy analysis method.
Vembu Ananthaswamy
2014
Approximate analytical expression of thermal radiation effect on inherent irreversibility in a variable viscosity channel flow.
Vembu Ananthaswamy
2014
Analytical expressions for an electrochemical biosensor employing the enzymes glucose oxidase and horseradish peroxidase using the Homotopy perturbation method.
Vembu Ananthaswamy
2014
Analytical solutions of fluroscent reporters to auxin in flux in plant cells.
Vembu Ananthaswamy
2014
Approximate analytical expressions of non-linear boundary value problem in an amperometric biosensor using new Homotopy perturbation method.
Vembu Ananthaswamy
2014
Approximate analytical solution of non-linear boundary value problem in electrohydrodynamic flow in a circular cylindrical conduit: Homotopy analysis approach.
Vembu Ananthaswamy
2014
Approximate analytical solution of non-linear initial value problem for an autocatalysis in a continuous stirred tank reactor: Homotopy analysis method.
Vembu Ananthaswamy
2014
2014
Approximate analytical solution of Chemo attractant gradient sensing based on receptor-regulated membrane phospholipid signaling dynamics.
Vembu Ananthaswamy
2014
Solution of the linear and non-linear differential equations by using Homotopy perturbation method.
Vembu Ananthaswamy
2014
A simple analytical expression of non-linear boundary value problem for steady state thermal criticality in viscous reactive flows through channels with a sliding wall.
Vembu Ananthaswamy
2014
Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturpation method.
Vembu Ananthaswamy
2013
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method.
Vembu Ananthaswamy
2013
Approximate analytical solution of non-linear reaction-diffusion equation in microwave heating model in a slab: Homotopy analysis method.
Vembu Ananthaswamy
2013
Non-linear reaction-diffusion process in a thin membrane and Homotopy analysis method.
Vembu Ananthaswamy
2013
Analytical solutions of some two-point non-linear elliptic boundary value problems.
Vembu Ananthaswamy
2012
Analytical solution of two-point non-linear boundary value problems in porous catalyst particles.
Vembu Ananthaswamy
2012
Approximate analytical solution of non-linear kinetic equation in a porous pellet.
Vembu Ananthaswamy
2012
Analytical solution of system of non-linear reaction diffusion-processes in a thin membrane: Homotopy perturbation approach.
Vembu Ananthaswamy
2010
On sequences in a banach algebra.
Vembu Ananthaswamy
2008