Dr. Vembu Ananthaswamy
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Dr. Vembu Ananthaswamy

Associate Professor
The Madura College (Autonomous), Madurai - 625 011, Tamil Nadu, India

Highest Degree
Ph.D. in Mathematics from Madurai Kamaraj University, Madurai, Tamil Nadu, India

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Biography

Dr. 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.

Area of Interest:

Mathematics
100%
Applied Differential Equations
62%
Mathematical Modeling
90%
Approximation Techniques
75%
Computational Mathematics
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
0
Abstracts
0

Selected Publications

  1. Ananthaswamy, V., T. Nithya and V.K. Santhi, 2019. Approximate analytical expressions of a boundary layer flow of viscous fluid using the modified Homotopy analysis method. J. Inform. Comput. Sci., 9: 534-541.
  2. Ananthaswamy, V., T. Nithya and V.K. Santhi, 2019. A mathematical study on MHD plane poiseuille flow in a porous channel with non-uniform plate temperature. J. Applied Sci. Comput., 6: 1178-1194.
  3. Ananthaswamy, V., M. Subha and A.M. Fathima, 2019. Approximate analytical expressions of non-linear boundary value problem for a boundary layer flow using the Homotopy analysis method. J. Bioinform. Syst. Biol., 1: 34-39.
  4. Ananthaswamy, V., M. Subha and A.M. Fathima, 2019. An analytical study on entropy generation in the poiseuille flow of a temperature dependent viscosity through a channel. Am. J. Inform. Sci. Comput. Engin., 5: 47-65.
  5. Ananthaswamy, V., M. Jeyaraman and L.S. Amalraj, 2019. Analytical expressions for heat generating hydromagnetic fluid flow in a porous medium using homotopy analysis method. Applied Sci. Comput., 6: 1543-1563.
  6. Ananthaswamy, V., C. Sumathi and V.K. Santhi, 2019. Chemical reaction and heat source effects on steady MHD oscillatory flow. J. Applied Sci. Comput., 6: 278-292.
  7. Ananthaswamy, V. and S. Narmatha, 2019. Comparison between the Homotopy perturbation method and modified Adomain decomposition method in solving a system if non-linear self igniting reaction diffusion equations. J. Emerg. Technol. Innovat. Res., 6: 51-59.
  8. Ananthaswamy, V. and K. Renganathan, 2019. A mathematical study on non-linear MHD boundary layer past a porous shrinking sheet with suction. Am. Int. J. Sci. Engin. Res., 2: 32-48.
  9. Ananthaswamy, V. and S. Narmatha, 2019. Semi-analytical solution for surface coverage model in an electrochemical arsenic sensor using a new approach to Homotopy perturbation method. Int. J. Modern Math. Sci., 17: 85-110.
  10. Senthamarai, R., K.S. Anthony and V. Ananthaswamy, 2018. Approximate analytical solution of a differential equation model in HIV infection of CD4+ T-cells using HPM. Nonlinear Stud., 25: 395-402.
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  11. Renganathan, K., V. Ananthaswamy, C. Thangapandi and R. Srinivasan, 2018. Expository articulation of non-steady state non-linear solutions of concentration utilizing Homogony perturbation method. IOSR J. Eng., 8: 58-66.
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  12. Ananthaswamy, V., M. Subha and S. Kaveri, 2018. A mathematical study on MHD mixed convection channel flow of nanofluid. Int. J. Acad. Appl. Res., 2: 12-26.
  13. Ananthaswamy, V. and K. Renganathan, 2018. A mathematical study of entropy generation group based on the impact of suction/injection. J. Appl. Sci. Comput., 5: 1283-1311.
  14. Ananthaswamy, V., D. Subha, C. Thangapandi and S. Kaveri, 2018. Mathematical study of MHD porous channel flow using the homotopy analysis method. Universal J. Math., 3: 200-225.
  15. Ananthaswamy, V., S. Usha and P. Sivapreethi, 2017. Mathematical study on thermodynamic second law for a gravity –driven viscosity liquid film using homotopy analysis method. Star Res. Int. J., 5: 15-37.
  16. Ananthaswamy, V., S. Usha and L. Nivedha, 2017. Analytical expressions of a steady MHD viscous incompressible fluid flow through a porous planner channel. Int. J. Stat. Appl. Math., 2: 12-17.
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  17. Ananthaswamy, V., M. Subha and M. Divya Shanmuga, 2017. A mathematical study on MHD viscous due to a shrinking sheet. Star Res. Int. J., 5: 50-62.
  18. Ananthaswamy, V., M. Subha and L. Nivedha, 2017. Analytical expression of a steady MHD oscillatory slip flow. Star Res. Int. J., 5: 8-22.
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  19. Ananthaswamy, V. and R. Sankari @ Deepa, 2017. Mathematical analysis of steady boundary layer flow and heat transfer of a viscous incompressible fluid using homotopy analysis method. Star Res. Int. J., 5: 38-49.
  20. Ananthaswamy, V. and P. Sivapreethi, 2017. Approximate analytical solution for MHD flow over a non-linear porous stretching sheet. Star Res. Int. J., 5: 23-30.
  21. Thangapandi, C., V. Ananthaswamy and S. Punitha, 2016. Analytical expressions of the thermal boundary-layer over a flat plate with a convective surface boundary condition. Int. J. Eng. Res. Mod. Educ., 1: 1-10.
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  22. Thangapandi, C., V. Ananthaswamy and J. Soumyadevi, 2016. A study on MHD boundary layer flow over a non-linear stretching sheet using modified Homotopy analysis method. Int. J. Eng. Res. Mod. Educ., 1: 33-41.
  23. Dharmarajan, R., V. Ananthaswamy and D. Ramachandran, 2016. Improved upper bound on the number of minimal dominating sets in pendant graphs. Int. J. Applied Sci., 1: 50-54.
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  24. Dharmarajan, R. and V. Ananthaswamy, 2016. On relating vertex covers and dominating sets in simple connected graphs. Int. J. Mod. Math. Sci., 14: 197-203.
  25. Dharmarajan, R. and V. Ananthaswamy, 2016. An algorithm to enumerate the minimal transversals of a hypergraph without redundancy or regeneration. Br. J. Applied Res., 1: 15-17.
  26. Ananthaswamy, V., R. Thenmozhi and R. Seethalakshmi, 2016. Analytical expressions for combined effect of Buoyancy force. Int. J. Mod. Math. Sci., 14: 77-99.
  27. Ananthaswamy, V., N. Yogeswari and S. Usha, 2016. Mathematical analysis of MHD flow of an optically thin viscous fluid through a channel. Int. J. Stat. Applied Math., 1: 13-23.
  28. Ananthaswamy, V., M. Kalaivani and M. Subha, 2016. Analytical solution of non-linear boundary value problem for MHD flow. Int. J. Stat. Applied Math., 1: 27-36.
  29. Ananthaswamy, V., C. Sumathi and M. Subha, 2016. Mathematical analysis of variable viscosity fluid flow through a channel and Homotopy analysis method. Int. J. Mod. Math. Sci., 14: 296-319.
  30. Ananthaswamy, V., C. Gandhalakshmi and M. Subha, 2016. Mathematical expressions of entropy generation in a variable viscosity MHD channel flow. Int. J. Applied Sci., 1: 19-49.
  31. Ananthaswamy, V. and T. Iswarya, 2016. Analytical expressions of the effect of radiation on free convective flow of heat and mass transfer. Nonlinear Stud., 23: 133-147.
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  32. Ananthaswamy, V. and T. Iswarya, 2016. Analytical expressions of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction. Nonlinear Stud., 23: 73-86.
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  33. Ananthaswamy, V. and S. Punitha, 2016. Simple analytical expression of non-linear heat transfer equation by new Homotopy perturbation method. J. Scient. Res. Phys. Math. Sci., 3: 12-28.
  34. Ananthaswamy, V. and P. Nivetha, 2016. Mathematical analysis of an allosteric activation of an enzyme. Int. J. Scient. Res. Mod. Educ., 1: 336-348.
  35. Ananthaswamy, V. and P. Nivetha, 2016. Mathematical analysis of MHD Falkner-Skan flow of Maxwell fluid and Homotopy analysis method. Int. J. Adv. Math. Stat., 1: 39-53.
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  36. Ananthaswamy, V. and P. Nivetha, 2016. Analytical expressions of radiative effects on steady free convective flow. Int. J. Curr. Res. Mod. Educ., 1: 24-33.
  37. Ananthaswamy, V. and N. Yogeswari, 2016. Mathematical study of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet. Int. J. Eng. Applied Sci. Technol., 1: 26-36.
  38. Ananthaswamy, V. and N. Yogeswari, 2016. A study on MHD Jeffery-Hamel flow in nano fluids using new Homotopy analysis method. Int. J. Scient. Res. Mod. Educ., 1: 15-28.
  39. Ananthaswamy, V. and M. Kalaivani, 2016. A mathematical study of heat and mass transfer on non-linear MHD boundary layer flow. Am. J. Eng. Sci. Technol. Res., 4: 1-17.
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  40. Ananthaswamy, V. and L.S. Amalraj, 2016. Thermal stability analysis of reactive hydromagnetic third-grade fluid using Homotopy analysis method. Int. J. Mod. Math. Sci., 14: 25-41.
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  41. Ananthaswamy, V. and J. Soumyadevi, 2016. Analytical expression to the steady viscous flow of a micropolar fluid driven by injection between two porous disks. Int. J. Mod. Math. Sci., 14: 460-476.
  42. Ananthaswamy, V. and C.G. Lakshmi, 2016. Analytical expressions of the variable viscosity MHD Couette flow with permeable walls using Homotopy analysis method. Int. J. Applied Sci., 1: 41-66.
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  43. Ananthaswamy, V. and C. Sumathi, 2016. Mathematical expressions of mamillary model of four compartments. Int. J. Curr. Res. Mod. Educ., 1: 301-319.
  44. Ananthaswamy, V. and C. Sumathi, 2016. Analytical expressions for steady MHD boundary layer flow over a stretching surface. Int. J. Curr. Res. Mod. Educ., 1: 34-47.
  45. Ananthaswamy, V. and C. Soumyadevi, 2016. Mathematical expressions of heat transfer to MHD oscillatory flow and Homotopy analysis method. Int. J. Math. Applic., 4: 175-187.
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  46. Ananthaswamy, V. and B. Seethalakshmi, 2016. Analytical expressions of non-linear boundary value problems in MHD boundary layer flow. Int. J. Mod. Math. Sci., 14: 160-182.
  47. Subha, M. and V. Ananthaswamy, 2015. Simple analytical expressions for mth order and Langmuir rate equations in spherical coordinates. MASIVJ-Bi Annu. Int. J., 1: 72-80.
  48. Ananthaswamy, V., T. Iswarya and M. Subha, 2015. Analytical expressions of reactive fully developed flow of an incompressible, thermodynamically compatible fluid Int. J. Mod. Math. Sci., 13: 251-274.
  49. Ananthaswamy, V., S.M. Uma, 2015. Analytical expression for compartment mathematical model of liver. J. Adv. Appl. Sci., 3: 46-50.
  50. Ananthaswamy, V., L.S. Amalraj, 2015. Analytical expressions for heat transfer and entropy generation in a pipe flow using homotopy analysis method. ARPN J. Eng. Appl. Sci., 10: 810-821.
  51. Ananthaswamy, V., J.B. Joy, M. Rasi, C. Tangapandi and L. Rajendran, 2015. Analytical expression of nonlinear partial differential equations in mediated electrochemical induction of chemical reaction. Adv. Chem. Sci., 4: 7-18.
  52. Ananthaswamy, V., E. Sreejee and M. Subha, 2015. Nonlinear analysis of malaria epidemics. J. Adv. Math. Sci., 1: 1-26.
  53. Ananthaswamy, V. and S.M. Uma, 2015. Analytical expression for the hydrodynamic fluid flow through a porous medium. Int. J. Autom. Control Eng., 4: 67-76.
  54. Ananthaswamy, V and T. Ishwarya, 2015. Analytical expression of rotating chemical waves in the Gray-Scott model. Roots Int. J. Multidiscip. Res., 1: 131-149.
  55. Ananthaswamy, V and P. Padmavathi, 2015. Simple analytical expression of temperature in microwave heating model in an infinite slab: MNDHPM. Roots Int. J. Multidiscip. Res., 1: 107-117.
  56. Ananthaswamy, V and E. Sreejee, 2015. Simple analytical expression of steady state substrate concentration in the biosensor response. Res. J. Model. Simul., 2: 48-54.
  57. Ananthaswamy, V and B. Seethalakshmi, 2015. Mathematical analysis of information dissemination model for social networking services. Amer. J. Model. Optim., 3: 26-34.
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  58. Thenmozhi, R., C. Chowmiya and V. Ananthaswamy, 2014. Analytical expressions of entropy generation in a variable viscosity fluid flow using the homotopy perturbation method. Eur. J. Apl. Sci. Technol., 1: 78-93.
  59. Subha, M., V. Ananthaswamy and L. Rajendran, 2014. Approximate analytical solution of non-linear boundary value problem in electrohydrodynamic flow in a circular cylindrical conduit: Homotopy analysis approach. Int. J. Autom. Control Eng., 3: 48-56.
  60. Subha, M., V. Ananthaswamy and L. Rajendran, 2014. A comment on Liao's homotopy analysis method. Int. J. Applied Sci. Eng. Res., 3: 177-186.
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  61. Shirly, P.F., V. Ananthaswamy and L. Rajendran, 2014. Analytical expressions for an electrochemical biosensor employing the enzymes glucose oxidase and horseradish peroxidase using the Homotopy perturbation method. Int. J. Scient. Eng. Res., 5: 1105-1116.
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  62. Shanthi, D., V. Ananthaswamy and L. Rajendran, 2014. Approximate analytical expressions of non-linear boundary value problem in an amperometric biosensor using new Homotopy perturbation method. Int. J. Modern Math. Sci., 10: 201-219.
  63. Rasi, M., V. Ananthaswamy and L. Rajendran, 2014. Nonlinear analysis of cholera epidemics. Applied Math., 4: 12-21.
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  64. Mehala, S., V. Ananthaswamy and L. Rajendran, 2014. Analytical solutions of fluroscent reporters to auxin in flux in plant cells. Int. J. Innov. Res. Sci. Eng. Technol., 3: 1382-1386.
  65. Ganesan, S.P., V. Ananthaswamy and L. Rajendran, 2014. Mathematical modeling and analysis of solid cancer growth with angiogenesis. Can. Open Math. Model. Applied Comput. J., 1: 1-19.
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  66. Dharmalingam, K.M., S. Kalaiselvi and V. Ananthaswamy, 2014. Approximate analytical solution of Chemo attractant gradient sensing based on receptor-regulated membrane phospholipid signaling dynamics. Int. J. Modern Math. Sci., 9: 173-197.
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  67. Ananthaswamy, V., S. Padmavadhy and L. Rajendran, 2014. Simple analytical expressions of steady state concentration and flux in immobilized glucose isomerase of packed-bed reactors. Rev. Bioinform. Biomet., 3: 29-37.
  68. Ananthaswamy, V., S. Mythili and L. Rajendran, 2014. Approximate analytical expression of thermal radiation effect on inherent irreversibility in a variable viscosity channel flow. Discovery J., 21: 84-97.
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  69. Ananthaswamy, V., S. Kala and L. Rajendran, 2014. Approximate analytical solution of non-linear initial value problem for an autocatalysis in a continuous stirred tank reactor: Homotopy analysis method. Int. J. Math. Arch., 5: 1-12.
  70. Ananthaswamy, V., R. Shanthakumari and M. Subha, 2014. Simple analytical expressions of the non-linear reaction diffusion process in an immobilized biocatalyst particle using the New Homotopy perturbation method. Rev. Bioinform. Biometrics, 3: 22-28.
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  71. Ananthaswamy, V., P. Jeyabarathi, C. Ramalakshmi and K. Sornadevi, 2014. Analytical expression for the steady state concentration of the species of an enzyme containing polymer modified electrode. Int. J. Res. Applied Sci. Eng. Technol., 2: 273-286.
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  72. Ananthaswamy, V., P. Jeyabarathi and S. Anitha, 2014. Approximate analytical solution of the steady-state concentration of mediator and current. Int. J. Res. Applied Sci. Eng. Technol., 2: 265-272.
  73. Ananthaswamy, V., P. Anusuya, R. Eswaran and L. Rajendran, 2014. Analytical expression of density of a population in community ecology from Lotka-Volterra model: Homotopy perturbation approach. Int. J. Math. Arch., Vol. 5. .
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  74. Ananthaswamy, V., C. Chowmiya and M. Subha, 2014. Approximate analytical solution of thermal criticality for a reactive third-grade liquid in a channel with isothermal walls: Homotopy analysis method. Discovery J., 21: 53-70.
  75. Ananthaswamy, V. and S. Mythili, 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. Int. J. Scient. Res., 2: 194-200.
  76. Ananthaswamy, V. and S. Kala, 2014. Approximate analytical solution of nonlinear boundary value problem in thermal engineering problems using Homotopy Analysis method. Can. Open Math. J., 1: 1-21.
  77. Ananthaswamy, V. and R. Shanthakumari, 2014. Solution of the linear and non-linear differential equations by using Homotopy perturbation method. Indian J. Applied Res., 4: 27-31.
  78. Ananthaswamy, V. and P. Jeyabarathi, 2014. Application of the Homotopy perturbation method to the steady state Brusselator model. Adv. Chem. Sci., 3: 31-39.
  79. Ananthaswamy, V. and M. Subha, 2014. Analytical expressions for exothermic explosions in a slab. Int. J. Res. Granthaalayah, 1: 22-37.
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  80. Ananthaswamy, V. and L.S. Amalaraj, 2014. Comparison of homotopy perturbation method and recursive procedure for commensal-host ecological model with replenishment rate for both the species. Am. J. Applied Math., 2: 149-154.
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  81. Ananthaswamy , V., C. Chowmiya and M. Subha, 2014. A simple analytical expression of a non-linear boundary value problem for an immobilized oxidase enzyme electrode using the new homotopy perturbation method. Frontiers Sensors, 2: 32-44.
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  82. Shanthi, D., V. Ananthaswamy and L. Rajendran, 2013. Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method. Nat. Sci., 5: 1034-1046.
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  83. Saravanakumar, K., V. Ananthaswamy, M. Subha and L. Rajendran, 2013. Analytical solution of nonlinear boundary value problem for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. ISRN Thermodyn. 10.1155/2013/282481.
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  84. Ananthaswamy, V., S.P. Ganesan and L. Rajendran, 2013. Approximate analytical solution of non-linear reaction-diffusion equation in microwave heating model in a slab: Homotopy analysis method. Int. J. Math. Arch., 4: 178-189.
  85. Ananthaswamy, V., S.P. Ganesan and L. Rajendran, 2013. Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturpation method. Int. J. Applied Sci. Eng. Res., 2: 569-578.
  86. Ananthaswamy, V., A. Eswari and L. Rajendran, 2013. Non-linear reaction-diffusion process in a thin membrane and Homotopy analysis method. Int. J. Autom. Control Eng., 2: 10-18.
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  87. Ananthaswamy, V. and L. Rajendran, 2013. Analytical solution of non-isothermal diffusion-reaction processes and effectiveness factors. ISRN Phys. Chem., Vol. 2013. 10.1155/2013/487240.
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  88. Ananthaswamy, V. and L. Rajendran, 2012. Approximate analytical solution of non-linear kinetic equation in a porous pellet. Global J. Pure Applied Math., 8: 101-111.
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  89. Ananthaswamy, V. and L. Rajendran, 2012. Analytical solutions of some two-point non-linear elliptic boundary value problems. Applied Math., 3: 1044-1058.
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  90. Ananthaswamy, V. and L. Rajendran, 2012. Analytical solution of two-point non-linear boundary value problems in porous catalyst particles. Int. J. Math. Arch., 3: 810-821.
  91. Ananthaswamy, V., A. Eswari and L. Rajendran, 2010. Analytical solution of system of non-linear reaction diffusion-processes in a thin membrane: Homotopy perturbation approach. Phys. Chem. Indian J., 5: 97-102.
  92. Ananthaswamy, V. and K.C. Rao, 2008. On sequences in a banach algebra. Acta Ciencia Indica, 34: 729-731.