ANANTHASWAMY VEMBU
@maduracollege.edu.in
Associate Professor, Research Centre & PG Department of Mathematics
The Madura College (Autonomous). Madurai, Tamil Nadu, India
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
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
V. Vijayalakshmi, V. Ananthaswamy, and J. Anantha Jothi
Akademia Baru Publishing
The Lane-Emden Boundary Value Problem as it appears in chemical applications, science, and biochemical applications are employed. Two specific models are solved by applying the Ananthaswamy-Sivasankari method (ASM). The model in first problem is a reaction–diffusion equation of a spherical catalyst and the model in second problem is the reaction–diffusion process of a spherical biocatalyst. Obtain a reliable semi-analytical expression of the effectiveness factors and the concentrations. A graph is constructed for the obtained semi-analytical solutions.The effects of several parameters like dimensionless activation energy, Thiele modulus and dimensionless heat of reaction are shown in graphical representation. Our semi-analytical solution is compared with numerical simulation by using MATLAB and finds good fit in all parameters. The new analytical method ASM is helpful to solve many non-linear problems mainly Reaction-Diffusion equation.
S. Punitha, V. Ananthaswamy, and V.K.Santhi
Akademia Baru Publishing
In depth analysis on the boundary layer flow of magnetohydrodynamic nanofluids is conducted in this study. The analytical results are estimated for temperature profile, concentration profile, reduced Nusselt number and reduced sherwood number using Modified q-Homotopy analysis method. Also, the impacts of numerous physical parameters such as the magnetic field, the Eckert number, the thermophoresis parameter, Brownian parameter and Lewis number are discussed in detail. Comparing our obtained results with numerical solution results in a very good fit. Additionally, the findings are displayed graphically. Reduced skin friction, reduced Nusselt number and reduced Sherwood number are shown in table representation. This method can be extended to physical, chemical, and engineering sciences.
J. Chitra, V. Ananthaswamy, P. Gajendran, and J. Anantha Jothi
Akademia Baru Publishing
The semi-analytical expressions for the autocatalytic reactions with the mixed cubic and quadratic terms are derived. The kinetic model is associated with the diffusion, which is considered in a one-dimensional reactor. The semi-analytical solutions are derived for the concentrations of dimensionless reactant and dimensionless autocatalyst in the cubic autocatalytic reaction-diffusion equations for the steady-state and non-steady state by using the Homotopy analysis method (HAM). The derived approximate analytical solutions are compared with the numerical simulation and found to be very good fit for all values of the dimensionless parameters.
V. Ananthaswamy, R. R. Subanya, and S. Sivasankari
Akademia Baru Publishing
The detailed analysis on the flow of MHD fluid in double stratification medium across a stretching sheet with exponential permeability is examined in this research. The approximate analytical solution for the governing equations in steady state is found by using a new approximate analytical method called Ananthaswamy-Sivasankari Method (ASM) and Modified Homotopy Analysis Method (MHAM). The approximate analytical expressions for the dimensionless velocity, dimensionless temperature and dimensionless concentration are derived using these methods. The analytical and numerical results (previous work) are compared and there is a good agreement between our analytical results and numerical works. The impacts of several parameters including porosity, magnetic, suction and heat source parameters are shown in graphical representation. The error table for the physical parameter namely Nusselt number for various values of Prandtl number has been provided. Both ASM and MHAM are very useful to solve some other non-linear boundary value problems especially in MHD fluid flow
C. Sumathi, V. Ananthaswamy, and V. K. Santhi
AIP Publishing
R. Thenmozhi and V. Ananthaswamy
AIP Publishing
V. Ananthaswamy, C. Sumathi, and V. K. Santhi
AIP Publishing
V. Ananthaswamy and S. Narmatha
AIP Publishing
V. Ananthaswamy and P. Felicia Shirly
AIP Publishing