International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.


Vembu Ananthaswamy

Assistant Professor, The Madura College (Autonomous), India

Research Areas

Mathematical Modeling, Nonlinear Differential equations, Mathematical Biology, Numerical Analysis, Asymptotic Methods, Perturbation Techniques, Computational Modeling

Education

2009-2013Ph.D.Madurai Kamaraj University, Madurai, Tamil Nadu, India
2001-2002M.Phil.Madurai Kamaraj University, Madurai, Tamil Nadu, India
1998-2000M.Sc.The Madura College (Autonomous), Madurai, Tamil Nadu, India
1995-1998B.Sc.The Madura College (Autonomous), Madurai, Tamil Nadu, India

Experience

2008-presentAssistant Professor, Department of Mathematics, The Madura College (Autonomous), Madurai, Tamil Nadu, India

Publications: Journals

[1]  V. Ananthaswamy, L. Rajendran, Approximate analytical solution of non-linear kinetic equation in a porous pellet, Global Journal of Pure and Applied Mathematics, Vol. 8(2), 2012, pp.101-111.
[2]  V. Ananthaswamy, L. Rajendran, Analytical solution of two-point non-linear boundary value problems in porous catalyst particles. International Journal of Mathematical Archieve-3(3), 2012, pp. 810-821 (Impact factor: 0.80).
[3]  V. Ananthaswamy, L. Rajendran, Analytical solutions of some two-point non-linear elliptic boundary value problems, Applied Mathematics (3) 2012, pp.1044-1058 (Impact factor 0.19).
[4]  V. Ananthaswamy, A. Eswari and L. Rajendran, Non-linear reaction-diffusion process in a thin membrane and Homotopy analysis method. International Journal of Automation and Control Engineering, Vol. 2 (1), 2013, pp. 10-18.
[5]  V. Ananthaswamy, L. Rajendran, Analytical solution of non-isothermal diffusion-reaction processes and effectiveness factors. ISRN – Physical Chemistry, Vol. 2013, Article ID 487240, pp. 1-14.
[6]  V. Ananthaswamy, K. Chandrasekara Rao, On sequences in a Banach algebra, Acta Ciencia Indica 34M (2), 2008, pp.729-731.
[7]  V. Ananthaswamy, A. Eswari and L. Rajendran, Analytical solution of system of non-linear reaction diffusion-processes in a thin membrane: Homotopy perturbation approach, Physical Chemistry- An Indian Journal, Vol. 5 (2), (2010), pp.1-8.
[8]  V. Ananthaswamy, SP. Ganesan and L. Rajendran, Approximate analytical solution of non-linear reaction-diffusion equation in microwave heating model in a slab: Homotopy analysis method, International Journal of Mathematical Archive-4(7), 2013, pp. 178-189 (Impact factor: 0.80).
[9]  D. Shanthi, V. Ananthaswamy and L. Rajendran, Analysis of non-linear reaction-diffusion processes with Michaelis - Menten kinetics by a new Homotopy perturbation method, Natural Science, Vol.5, No.9, 2013, pp. 1034-1046 (Impact factor : 0.33).
[10]  K. Saravanakumar, V. Ananthaswamy, M. Subha and L. Rajendran, Analytical solution of non-linear boundary value problem for fin efficiency of convective straight fins with temperature dependent thermal conductivity, ISRN –Thermodynamics, Vol. 2013, Article ID 282481, pp. 1-8.
[11]  V. Ananthaswamy, SP. Ganesan and L. Rajendran, Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturpation method, International Journal of Applied Science and Engineering Research (IJASER), Vol.2 (5), 2013, pp.569-578.
[12]  V. Ananthaswamy and S. Mythili, 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, International Journal of Scientific Research, Vol. 2 (2), 2014, pp.194-200 (Impact factor: 1.8651).
[13]  V. Ananthaswamy and R. Shanthakumari, Solution of the linear and non-linear differential equations by using Homotopy perturbation method, Indian Journal of Applied Research , Vol. 4 (2), 2014, pp.27-31 (Impact factor: 2.1652).
[14]  K.M. Dharmalingam, S. Kalaiselvi and V. Ananthaswamy, Approximate analytical solution of Chemo attractant gradient sensing based on receptor-regulated membrane phospholipid signaling dynamics, International Journal of Modern Mathematical Sciences (IJMMS), 9(3), 2014, pp. 173-197.
[15]  M. Subha, V. Ananthaswamy and L. Rajendran, A comment on Liao’s Homotopy analysis method, International Journal of Applied Science and Engineering Research (IJASER), Vol.3 (1), 2014, pp.177-186.
[16]  V. Ananthaswamy, S. Kala and L. Rajendran, Approximate analytical solution of non-linear initial value problem for an autocatalysis in a continuous stirred tank reactor: Homotopy analysis method, International Journal of Mathematical Archive (IJMA), Vol. 5(4), 2014, pp.1-12(Impact factor: 0.80).
[17]  M. Subha, V. Ananthaswamy, and L. Rajendran, Approximate analytical solution of non-linear boundary value problem in electrohydrodynamic flow in a circular cylindrical conduit: Homotopy analysis approach, International Journal of Automation and Control Engineering (IJACE), Vol.3 (2), 2014.
[18]  D. Shanthi, V. Ananthaswamy and L. Rajendran , Approximate analytical expressions of non-linear boundary value problem in an amperometric biosensor using new Homotopy perturbation method, International Journal of Modern Mathematical Sciences (IJMMS), 10(3), 2014, pp. 201-219.
[19]  P. Felicia Shirly, V. Ananthaswamy and L. Rajendran, Analytical expressions for an electrochemical biosensor employing the enzymes glucose oxidase and horseradish peroxidase using the Homotopy perturbation method, International Journal of Scientific and Engineering Research (Impact Factor: 1.4), Vol.5 (5), 2014, pp.1105-1116
[20]  M. Subha ,V. Ananthaswamy and L. Rajendran, Comparison of Homotopy perturbation method and Recursive procedure for commensal-host ecological model with replenishment rate for both the species, Indian Journal of Pure and Applied Mathematics (Communicated).
[21]  V.Ananthaswamy, S. Kala Approximate analytical solution of nonlinear boundary value problem in thermal engineering problems using Homotopy Analysis method, Canadian Open Thermal Engineering Journal (Communicated).
[22]  V. Ananthaswamy and R. Shanthakumari, Simple analytical expressions of the non-linear reaction diffusion process in an immobilized biocatalyst particle using the New Homotopy perturbation method, Review of Bioinformatics and Biometrics (Communicated).
[23]  V. Ananthaswamy and S. Mythili, Analytical expressions for thermal stability of a reactive hydromagnatic poiseuille fluid flow through a channel and Homotopy perturbation method, Egyptian Journal Basic and Applied Science (Communicated).