DEPARTMENT OF MATHEMATICS

OUR DEPARTMENTS

Books and Publications

  1. S. Karthika & M.Viji, Unit elements in the path algebra of an acyclic quiver, Indian Journal of Pure and Applied Mathematics,  ISSN 0019-5588, 10-06-2021, DOI 10.1007/s13226-021-00069-w
  2. Sujesh Areekara, J. Mackolil, B. Mahanthesh, Alphonsa Mathew, P. Rana, A study on nanoliquid flow with irregular heat source and realistic boundary conditions: A modified Buongiorno model for biomedical applications. ZAMM – Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, In Press, (2021). 1.603
  3. A.S. Sabu, J. Mackolil, B. Mahanthesh, Alphonsa Mathew, Nanoparticle aggregation kinematics on the quadratic convective magnetohydrodynamics flow of nanomaterial past an inclined flat plate with sensitivity analysis. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, In Press, (2021) 1.620
  4. A.S. Sabu, A. Wakif, S. Areekara, Alphonsa Mathew, N.A. Shah, Significance of nanoparticles’ shape and thermo-hydrodynamic slip constraints on MHD alumina-water nanoliquid flows over a rotating heated disk: The passive control approach. International Communications in Heat and Mass Transfer, 129, 105711 (2021).  5.683
  5. A.S. Sabu, J. Mackolil, B. Mahanthesh, Alphonsa Mathew, Reiner-Rivlin nanomaterial heat transfer over a rotating disk with distinct heat source and multiple slip effects. Applied Mathematics and Mechanics, 42, 1495–1510 (2021). 2.866
  6. Alphonsa Mathew, S. Areekara, A.S. Sabu, Sensitivity analysis on radiative heat transfer of hydromagnetic Carreau nanoliquid flow over an elongating cylinder using Bulirsch-Stoer algorithm. Thermal Science and Engineering Progress, 25, 101038 (2021).
  7. S. Areekara, F. Mabood, A.S. Sabu, Alphonsa Mathew, I.A. Badruddin, Dynamics of water conveying single-wall carbon nanotubes and magnetite nanoparticles subject to induced magnetic field: A bioconvective model for theranostic applications. International Communications in Heat and Mass Transfer, 126, 105484 (2021). 5.683
  8. Alphonsa Mathew, S. Areekara, A.S. Sabu, S. Saleem, Significance of multiple slip and nanoparticle shape on stagnation point flow of silver-blood nanofluid in the presence of induced magnetic field. Surfaces and Interfaces, 25, 101267 (2021). 4.837
  9. S. Areekara, A.S. Sabu, R. Kumar, Alphonsa Mathew, Triple stratification effects on bioconvective stagnation point flow pertaining carbon nanotubes due to induced magnetic field. ZAMM – Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, e202000375 (2021). 1.603
  10. S. Areekara, A.S. Sabu, Alphonsa Mathew, B. Saravanan, Statistical analysis on the stratification effects of bioconvective EMHD nanofluid flow past a stretching sheet: Application in theranostics. Heat Transfer, 50, 6680–6702 (2021).
  11.  Alphonsa Mathew, T.S. Neethu, S. Areekara, Three-dimensional hydromagnetic hybrid nanoliquid flow and heat transfer between two vertical porous plates moving in opposite directions: Sensitivity analysis. Heat Transfer, 50, 6548–6571 (2021).
  12. A.S. Sabu, S. Areekara, Alphonsa Mathew, Effects of multislip and distinct heat source on MHD Carreau nanofluid flow past an elongating cylinder using the statistical method. Heat Transfer, 50, 5652–5673 (2021).
  13. T.S. Neethu, S. Areekara, Alphonsa Mathew, Statistical approach on 3D hydromagnetic flow of water‐based nanofluid between two vertical porous plates moving in opposite directions. Heat Transfer, 50, 5170–5197 (2021).
  14. A.S. Sabu, S. Areekara, Alphonsa Mathew, Statistical analysis on three-dimensional MHD convective Carreau nanofluid flow due to bilateral nonlinear stretching sheet with heat source and zero mass flux condition. Heat Transfer, 50, 3641–3660 (2021).
  15. A.S. Sabu, Alphonsa Mathew, T.S. Neethu, K. Anil George, Statistical Analysis of MHD Convective Ferro-nanofluid Flow through an Inclined Channel with Hall Current, Heat Source and Soret Effect. Thermal Science and Engineering Progress, 22, 100816 (2021).
  16. Thomas K, V., Thomas K, J., Rapheal P, V., Sabu A.S., Ragi, K., Johnson, R.:
    Tinospora cordifolia extract as an environmentally benign green corrosion inhibitor in acid media: electrochemical, surface morphological, quantum chemical, and statistical investigations. Materials Today Sustainability, 13, 100076 (2021). https://doi.org/10.1016/j.mtsust.2021.100076
  17. M.I. Saju, Renjith Varghese, E.F. Antony John, A design of Public Key Cryptosystem in an Algebraic extension field over a Finite field using the difficulty of solving DLP, Malaya Journal of Matematik, 8(2),459-463, (2020), DOI: 10.26637/MJM0802.0022.
  18. R.S.Chakravarti & Viji M., Modules over incidence algebras , Journal , Bulletin of Kerala Mathematical Association, ISSN 0973-2721 , Volume 14, , 01-11-2017
  19. Alphonsa Mathew, Anil George K, (2017) Span-wise fluctuating MHD Convective Flow of Walters Liquid through Porous Medium in a Vertical Porous Channel with Thermal Radiation and Heat Source.  Mathematical Sciences International Research Journal, Vol. 6, ISSN 2278-8697, pp. 21-31.
  20. Saju M.I., Lilly P.L., Exchange message cryptosystem Based On discrete Logarithm Problem over the Extension Field F_(p^n) of the Finite Field F_p. Journal of Theoretical Physics and Cryptography, 14 (2017), 0.898.
  21. Saju M.I., Lilly P.L., Design of a Discrete Logarithm Problem Based Exchange Public Key cryptosystem In the Finite Algebraic Extension field of a Finite field. International Journal of Engineering Science Invention, 6(9), 50-53, (2017). 5.962
  22. Alphonsa Mathew, Anil George K(2016) Unsteady Mhd Convective Nano Fluid Flow Through Porous Mediumpast A Plate With Soret Effect, Chemicaland Thermal Radiations In The Presence Of Hall Current And Rotations, International J. of Math. Sci. & Engg. Appls. Vol. 10 No. III, pp. 1-21.
  23. Saju M.I., Lilly P.L., The Role of Primitive Polynomials in the Construction of Public Key Cryptosystems.  Journal of Theoretical Physics and Cryptography, 11, 01-04, (2016),0.898, DOI: 10.1007/s00601.
  24. Saju M.I., Design a Public Key Cryptosystem Based on Discrete Logarithm Problem over the Algebraic field F_(2^n) of F_2. Proceedings of the International conference in Emerging Trends in applied Mathematics and Computer science, St. Thomas college, Thrissur, (2016)
  25. Viji M. & R.S.Chakravarti, Indecomposibility of Incidence algebras, International Journal of Algebra, ISSN: 1312-8868 http://dx.doi.org/10.12988/ija.2015.411112 , Vol. 9 , 01-01-2015
  26. Alphonsa Mathew, Singh, K.D, (2015), Hall current effect on radiating span-wise fluctuating MHD convective flow through porous medium in a vertical porous channel.Kragujevac J.Sci.Vol.37, pp.49-63. I F 1.05
  27. Alphonsa Mathew, Singh, K.D, (2015) Span-Wise Fluctuating Mhd Convective Heat And Mass Transfer Flow Through Porous Medium In A Vertical Channel With Thermal Radiation And Chemical Reaction, International Journal Of Heat And Technology Vol. 33, No. 2, ISSN :-0392-8764. Pp.135-142.
  28. Alphonsa Mathew, Singh, K.D, J.Andrews( 2015) Injection/Suction Effects on an Oscillatory Flow in a Rotating Porous Channel, Int. J. of Theo. And Comp.Mathematics (IJTCM-)ISSN:  2395-6607,Vol. 1, No. 1, pp.6–14.
  29. J.Andrews, Alphonsa Mathew, ( 2015) Anjali Devi, Nano Fluids- Smart Coolants: Milestones and Applications, Int. J. of Theo. And Comp. Mathematics (IJTCM)ISSN:  2395-6607, Vol. 1, No. 1, pp. 41–49.
  30. Saju M.I., Lilly P.L., A Public Key cryptosystem Based on Discrete Logarithm Problem over Finite Fields F_(p^n)  . International Organization of Science and research Journal of Mathematics, 11(1), 01-03, (2015), 3.97, DOI: 10.9790/5728-11130103.
  31. Saju M.I., Lilly P.L., A Method of Designing Block Cipher which involves a Key bunch Matrix with Polynomial entries over F_2.  International Organization of Science and Research Journal of Mathematics, 11(2), 01-04, (2015), 3.97, DOI: 10.9790/5728-11220104.
  32. Saju M.I., Lilly P.L., Application of function fields in a Public Key Cryptosystem.  Journal of Theoretical and Computational Mathematics, 1(1), 52-55, (2015).
  33. Saju M.I., Lilly P.L., A Digital Signature and a New Public Key Cryptosystem Based on Discrete Logarithm Problem over Finite extension field of the Field F_p. International Organization of Science and Research Journal of Mathematics, 11(5), 32-35, (2015), 3.97, DOI: 10.9790/5728-11533235.
  34. Viji M. & R.S.Chakravarti, Characterization of Incidence algebras, GJMS  Theory and Practical, ISSN 0974-3200            Vol.6(1), 2014,        pp. 55–58
  35. Viji M. & R.S.Chakravarti, Nilpotent Ideals of Incidence algebras, Bulletin of Kerala Mathematical Association, Vol.11(2),2014 pp.233-239. ISSN:0973-2721
  36. Alphonsa Mathew, (2014)An Oscillatory Free Convective Magnetohydrodynamics (Mhd) Flow Through Porous Medium In A Rotating Vertical Porous Channel With Heat Source, International J. of Math. Sci. &Engg. Appls. (IJMSEA) ISSN 0973-9424, Vol. 8 No. VI, pp.  93-111.
  37. Alphonsa Mathew, Singh, K.D, (2014)Exact Solution of an Oscillatory Free Convective MHD Flow in a Rotating Vertical Channel, International J. of Math. Sci. &Engg. Appls. (IJMSEA), ISSN 0973-9424, Vol. 8 No. II, pp. 33-47.
  38. Saju M.I., Lilly P.L., A Method of Designing a Public Key Cryptosystem Based on Discrete Logarithm Problem.  International research Journal of Pure Algebra, 4(11), 628-630,(2014), 1.7
  39. Viji M. & R.S.Chakravarti, On Quivers and Incidence Algebras, Global Journal of Science Fontier research Mathematics & Decision Sciences, Vol.12(2) Feb.2012, ISSN: 2249-4626 pp.60-74
  40. Pratheesh George &  M.S.Samuel, Some results on Graphs of Semirings, Bulletin of Kerala Mathematical Association, ISSN 0973-2721, Vol.9(1),2012 , pp.29-37
  41. Singh, K.D, & Alphonsa Mathew  (2012).An Oscillatory Free Convective Flow Through Porous Medium in a Rotating Vertical Porous Channel, GJSFR-FISSN: 2249-4626, Vol.12, pp.50-64.
  42. Viji M. & R.S.Chakravarti, When is an algebra of endomorphisms an incidence algebra? GJSFR-F Vol.10(4),2010,pp67-68.
  43. Alphonsa Mathew & Singh, K.D, (2010) Heat transfer in viscous free convective fluctuating MHD flow past a hot vertical porous plate with variable temperature. Proc. Nat. Acad. Sci. India Sect. A,Vol 80, III.pp.11-21. I F 0.754
  44. K.D.Singh & Alphonsa Mathew, Heat and mass transfer on unsteady three  dimensional  convective MHD flow past a Porous plate moving in a parallel free stream, Indian J. Physics, 83(10) 2009, pp 1439-1455.
  45. Singh, K.D, Alphonsa Mathew,  (2009) Three dimensional Mhd fluctuating freeconvectiveflow between two vertical porous plates moving in opposite directions.J.RajasthanAcad.Phy.Sci., Vol.8, No.4,  pp 457-574.
  46. Singh, K.D, Alphonsa Mathew,  (2009) Heat Transfer in Three Dimensional MHD FlowBetween Two Parallel Porous Plates Moving in Opposite Directions with Transpiration Cooling. Proc. Nat. Acad. Sci.India Sect. A. Vol.79, pp.44-53.
  47. Singh, K.D, Alphonsa Mathew,  (2009)Heat and mass transfer on unsteady three dimensional convective MHD flow past a   Porous plate moving in a parallel free stream. Indian J. Phys., 83(10), pp 1439-1455. I F 0.967
  48. Singh K.D &Alphonsa Mathew, An Oscillatory free convective MHD Flow in a Rotating vertical Porous Channel with Heat source/ sink. Ganita Vol.60, No1. 2009, 91-110. I F 0.695
  49. K.D.Singh & Alphonsa Mathew, Injection/Suction effect on an oscillatory hydromagnetic flow in a rotating horizontal porous channel, Indian J. Phy 82(4) 2008, pp 1-11
  50. K.D.Singh & Alphonsa Mathew, An exact solution of an oscillatory flow through porous medium in a rotating porous channel with injection/suction, J.Rajasthan Acad. Phy. Sci.,Vol.7, No.1, March 2008, pp 1-14. ISSN:0972-6306
  51. Singh, K.D, Alphonsa Mathew,  (2008) Injection/Suction effect on an oscillatory hydromagnetic flow in a rotating horizontal porous channel. Indian J. Phys., 82(4), pp 1-11. I F 0.967
  52. Singh, K.D, Alphonsa Mathew  (2008)An exact solution of an oscillatory flow through porous medium in a rotating porous channel with injection/suction. J.RajasthanAcad.Phy.Sci., Vol.7, No.1,  pp 1-14.

DEPARTMENT OF MATHEMATICS