National Institute Of Technology,Kurukshetra

DEPARTMENT OF MATHEMATICS

Faculty

Name : Dr. Amit Prakash
Designation : Assistant Professor
Qualification : Ph. D. (2009) (D. D. U. Gorakhpur University, Gorakhpur (U. P.), India)
Current Address :

CC - 4 NIT Campus, Kurukshetra (Haryana)


Phone 1 (office) : 01744-233505
Phone 2 (office) : 8950118721
Email : amitmath@nitkkr.ac.in, amitmath0185@gmail.com

Area Of Intrest :

  • Numerical Methods for PDE's
  • Numerical Analysis
  • Differential Equation
  • Numerical solution of Fractional Partial Differential Equation
  • Differential Geometry of manifolds and their Applications.

Experience :

Teaching Experience -   Teaching:  10 Years
                                      Research:  13 Years 

  • Working as Assistant Professor in National Institute of Technology, Kurukshetra, from February 2013 onwords.
  • Worked as Assistant Professor in Allenhouse  Institute of Technology, Kanpur (affiliated by G. B. T. U., Lucknow) from January 2011 to February 2013.
  • Worked as Lecturer in Azad  Institute of Engineering and Technology, Lucknow (affiliated by G. B. T. U., Lucknow) from September 2008 to December 2010.

Other :

Research Publications:

International - 51

List of Published Paper:

  1. A. Prakash, M. Goyal, S. Gupta (2019), Fractional variational iteration method for solving time-fractional Newell-Whitehead-Segel equation, Nonlinear Engineering,  8 (1), 164-171, doi.org/10.1515/nleng-2018-0001.
  2. A. Prakash, V. Verma, D. Kumar, J. Singh (2018), Analytic study for fractional coupled Burger’s equations via sumudu transform method, Nonlinear Engineering, doi.org/10.1515/nleng-2017-90.
  3. A. Prakash and M. Kumar (2018), Numerical method for time-fractional Gas dynamic equations, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., doi.org/10.1007/s40010-018-0496-4.
  4. A Prakash, M Kumar, D Baleanu (2018), A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform, Applied Mathematics and Computation, 334, 30-40.
  5. A. Prakash, H. Kaur (2018), An efficient hybrid computational technique for solving nonlinear local fractional partial differential equations arising in fractal media, Nonlinear Engineering, doi.org/10.1515/nleng-2017-0100.
  6. A. Prakash, H. Kaur (2018), q-homotopy analysis transform method for space and time- fractional KdV-Burgers equation, Nonlinear Sci. Lett. A, 9 (1) , 44-61.
  7. A. Prakash, H. Kaur (2017), Numerical solution for fractional model of Fokker-Planck equation by using q-HATM, Chaos, Solitons and Fractals, 105, 99-110. 
  8. A. Prakash and M. Kumar (2017), Numerical method for solving time-fractional Multi-dimensional diffusion equations, Int. J. Computing Science and Mathematics, Vol. 8(3) , 257-267.
  9. A. Prakash and M. Kumar  (2017), Numerical method for fractional dispersive partial differential equations, Communications in Numerical Analysis, Vol. 2017(1), 1-18.
  10. A. Haseeb, A. Prakash and M. D. Siddiqi (2017), On a quarter-symmetric metric connection in an ε-Lorentzian para-Sasakian manifold, Acta Mathematica Universitatis Comenianae, 86(1), 143-152.
  11. A. Prakash (2016), Analytical method for space-fractional telegraph equation by Homotopy perturbation transform method, Nonlinear Engineering, 5(2), 123-128
  12. A. Prakash and M. Kumar (2016), Numerical solution of two dimensional time fractional order biological population model, Open Physics, 14, 177–186.
  13. A. Prakash and M. Kumar (2016), He’s Variational iteration method for the solution of nonlinear Newell-Whitehead-Segel equation, Journal of Applied Analysis and Computation, 6(3), 738–748.
  14. A. Prakash (2015), Phi-conformally flat - manifolds, Global Journal of advanced research on classical and modern Geometries, 4(2), 136-143.
  15. A. Prakash and M. Kumar and K. K. Sharma  (2015), Numerical method for solving coupled Burgers equation,  Applied Mathematics and Computation, 260, 314-320.
  16. A. Singh ,  R. Kumar,  A. Prakash and  S. Khare (2015), On a Pseudo projective -recurrent Sasakian manifolds, Journal of Mathematics and Computer science, 14(4), 309-314.
  17.  M. Ahmad,  A. Srivastava and  A. Prakash (2014), Pseudo projectively flat almost pseudo Ricci-symmetric manifolds, International Journal of Mathematical Archive, 5(7), 104-109.
  18.  A. Prakash,  M. Ahmad and  A. Srivastava (2013), M-projective curvature tensor on a Lorentzian para-Sasakian manifolds, IOSR Journal of Mathematics, 6 (1), 19-23.
  19.  M. Ahmad,  A. Srivastava and  A. Prakash (2013), Some results on a LP-Sasakian manifolds, Global Journal of Science Frontier Research Mathematics and Decision Sciences, 13(1), 50-58.
  20.  A. Prakash and  S. K. Srivastava (2013), On concircularly phi-recurrent Sasakian manifolds, Global Journal of Pure and Applied Mathematics, 9(2), 215-220.
  21.  A. Prakash,  V. K. Pandey and  S. A. Khan (2013), On weakly symmetric and special weakly Ricci symmetric Lorentzian Sasakian manifolds, Global Journal of Mathematics and Mathematical science, 3(1), 47-53.
  22.  A. Prakash,  V. K. Pandey and  S. A. Khan (2013), On generalized phi-recurrent para-Sasakian manifolds, Int. Innovative Research Journal for Advanced Mathematics, 1(1), 22-30.
  23. A. Prakash and  V. K. Pandey (2013), On a quarter symmetric non-metric connection in a Kenmotsu manifolds, International Journal of Pure and Applied Mathematics, 83(2), 271-278.
  24.  A. Prakash,  V. K. Pandey and  S. A. Khan (2012), Properties of Semi-symmetric metric T-connection in an almost contact metric manifolds, Global Journal of Mathematical Science: Theory and practical, 4(4), 421-429.
  25.  A. Prakash (2012), On concircularly phi -recurrent para-Sasakian manifolds, Novi Sad J.  Math., 42 (1), 81-87.
  26. A. Prakash (2011), On concircularly phi- recurrent Kenmotsu manifolds, Bulletin of Mathematical Analysis and Applications, 3(2), 83-88.
  27.  S. K. Srivastava and A. Prakash (2011), Quarter symmetric non-metric connection on a Kahler manifolds, International Journal of Mathematical Archive, 2(2), 300-301.
  28.  A. Prakash and  D. Narain (2011), On a quarter symmetric non-metric connection in an LP-Sasakian manifolds, International Electronic Journal of Geometry, 4(1), 129-137.
  29.  A. Prakash (2011), Phi-pseudo  flat Lorentzian para-Sasakian manifolds, The Journal of Mathematics and Computer Science, 3 (3), 301-305.
  30.  A. Prakash (2010), M-Projectively recurrent LP- Sasakian manifolds, Indian Journal of Mathematics, 52(1), 47-56.
  31.  S. K. Srivastava and  A. Prakash (2010), Quarter-symmetric connection in a conformal K-contact Riemannian manifolds, J. of Prog. Sciences, 1(2), 162-166.
  32.  A. Prakash and  D. Narain (2010), On a Class of LP-Sasakian manifoldsm,  Bull. Pure Appl. Math., 4(2), 297-308.
  33.  A. Prakash and  A. Singh (2009), Quasi conformal curvature tensor on a Lorentzian  para-Sasakian manifolds, Journal of the Tensor Society, 3(2), 59-70.
  34.  A. Prakash and  D. Narain (2009), Semi-symmetric non-metric P-connection in an LP-Sasakian manifolds, J. Rajasthan Acad.  Phy.  Sci., 8 (3), 281-294.
  35.  D. Narain,  A. Prakash and  B. Prasad (2009), Quasi concircular curvature tensor on a Lorentzian para-Sasakian manifolds, Bull.  Cal. math. Soc., 101(4), 387-394.
  36. D. Narain,  A. Prakash and  B. Prasad (2009), A pseudo projective curvature tensor on a Lorentzian para-Sasakian manifolds, Analele Stiintifice Ale Universitatii “Al.I.Cuza” Din Iasi (S.N.) Mathematica, Tomul LV fase.2, 275-284.
  37.  A. Prakash, D. Narain and  B. Prasad (2008), On a quarter symmetric non- metric connection in a Lorentzian para-Cosymplectic manifolds, Jour. of Pure Math., 25, 39-50.

Conference Proceeding:

  1.  A. Prakash (2009), Special quarter-symmetric recurrent-metric connection in an LP-Sasakian manifolds, J. Nat. Acad. Math., Special Vol. (2009), 120-128.

Ph.D Supervision:

  •  Completed - 01 (as Co-supervisor).
  •  In progress - 03 (Looking for highly motivated, UGC--CSIR NET/ GATE qualified Ph.D. Candidate)

M.Sc Internship:

  •  01

Contribution:

Administrative responsibility

  1. Warden, Boys Hostel No. - 2 (Bhishma Bhawan) July 2019 Onwards.
  2. Warden, Boys Hostel No. - 9 (Indivar Bhawan) June 2018-June 2019.
  3. Warden, Boys Hostel No. - 4 (Droncharya Bhawan), July 2016-June 2017.
  4. Member, Library Committee of NIT, Kurukshetra, Jan. 2016-June 2019.
  5. Member, Library user group of NIT, Kurukshetra, 2014-2015.
  6. Member, B. O. S., Department of Mathematics, NIT, Kurukshetra, 2014 onwards
  7. Member, DAC, Department of Mathematics, NIT, Kurukshetra, 2013-2015.
  8. Member, DRC, Department of Mathematics, NIT, Kurukshetra, 2013-2015.
  9. Course Coordinator of B. Tech. Theory examinations at NIT, Kurukshetra
  10. Time table in charge Department of Mathematics, NIT Kurukshetra, 2013-14, June 2016-June 2017, Jan. 2017-Dec. 2018.
  11. Member, Admission Committee of NIT, Kurukshetra.
  12. Mentor B. Tech. first-year 2017-2018, 2018-2019.
  13. Member, Department purchase committee 2014 to 2018 of NIT, Kurukshetra.