rajeev.apm's picture
Dr. Rajeev
Associate Professor
Department of Mathematical Sciences,IIT BHU.
rajeev.apm@iitbhu.ac.in
+91 9451941396
Area of Interest: 
Mathematical Modelling, Moving Boundary Problems

  • Ph. D. in Applied Mathematics, IIT (BHU)  in 2009
  • M. Sc. in Mathematics, Banaras Hindu University (2004)
  • B. Sc. in Mathematics (Honours), Banaras Hindu University (2002)
  • Associate Professor in Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi:  July 19, 2017-till date.
  • Assistant Professor (Mathematics) in the Department of Mathematical Sciences, IIT (BHU), Varanasi from 30-10-2007 to July 18, 2017. 
  • Assistant Professor (Mathematics) in the Department/ Faculty of Commerce, BHU, Varanasi from 10-07-2006 to 30-10-2007.  

Courses Taught at Indian Institute of Technology (BHU)

  • Engineering Mathematics I
  • Engineering Mathematics II
  • Mathematical Methods
  • Numerical Techniques
  • Finite Element Method
  1. Rajeev, K.N. Rai, S. Das, Numerical solution of a moving-boundary problem with variable latent heat, Int. J. Heat and Mass Transfer 52 (2009) 1913–1917. 
  2. Rajeev, K. N. Rai, and S. Das, Solution of one-dimensional moving boundary problem with periodic boundary condition by variational iteration method, Thermal Science, 13 (2009), pp. 199-204. 
  3. S. Das, P.K. Gupta and Rajeev, A fractional predator- prey model and its solution,   Int. J. Non-linear Sci. and Numerical Simulation, 10 (2009), pp. 873-876. 
  4. Rajeev and S Das,   A numerical study for inward solidification of a liquid contain in cylindrical and spherical vessel, Thermal Science, 14 (2010), pp. 365-372.
  5. S. Das, Rajeev, Solution of fractional diffusion equation with a moving boundary condition by variational iteration method and Adomian decomposition method, Z. Naturforsch. 65a (2010) 793–799.  
  6. S. Das and Rajeev, An approximate analytical solution of one-dimensional phase change problems in a finite domain, Applied Mathematics and Computation, 217 (2011), 6040–6046. 
  7. Rajeev, M. S. Kushwaha, An approximate Approach for a Stefan Problem with Periodic Boundary Condition, Journal of Engineering, Computers & Applied Sciences,  (2012), pp. 66-73.                                   
  8. Rajeev, M. S. Kushwaha, Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation, Applied Math. Modell. , 37 (2013), pp. 3589–3599.
  9. Rajeev, M S Kushwaha, Ajay Kumar, An approximate solution to a moving boundary problem with space–time fractional derivative in fluvio-deltaic sedimentation process, Ain Shams Engg. J (Elsevier) 4 (2013), pp. 889–895.
  10. Rajeev, Homotopy perturbation method for a Stefan problem with variable latent heat, Thermal Science 18 (2014), pp. 391-398. 
  11. Rajeev, N. K. Raigar, A Numerical Solution Based On Operational Matrix of Differentiation of Shifted Second Kind Chebyshev Wavelets for a Stefan Problem, International Journal of Math., Comput., Stat., Natural and Physical Engineering, 9,  (2015).
  12. Rajeev, M.S. Kushwaha,, A.K. Singh, A study of a Stefan problem governed with space–time fractional derivatives,  Journal of Heat and Mass Transfer Research,3 (2016), 145-151.
  13. Rajeev and A.K. Singh, Homotopy analysis method for a fractional Stefan problem, Nonlinear Sci. Lett. A, 8(2017) 50-59.
  14. Rajeev and Mohan Singh Kushwaha, Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem, Differential Equations and Dynamical Systems (Springer), DOI 10.1007/s12591-016-0336-4, (2016).
  15. Rajeev and A.K. Singh, A wavelet based approach to a moving boundary problem, Nonlinear Sci. Lett. A, Vol. 8,  (2017),(3),  pp.294-302.   
  16.  A.Kumar, A.K.Singh, Rajeev, A Stefan problem with temperature and time dependent thermal,Journal of King Saud University – Science (2018), https://doi.org/10.1016/j.jksus.2018.03.005.
  17. Ajay Kumar, Abhishek Kumar Singh, Rajeev, A Stefan problem with temperature and time dependent thermal conductivity. Journal of King Saud University – Science (2018), https://doi.org/10.1016/j.jksus.2018.03.005.
  18. A K Singh, A Kumar, Rajeev, A Stefan problem with variable thermal coefficients and moving phase change material, Journal of King Saud University – Science (2018), https://doi.org/10.1016/j.jksus.2018.09.009.
  19. A. K. Singh, A. Kumar and Rajeev, Exact and approximate solutions of a phase change problem with moving phase change material and variable thermal coefficients. J. King Saud Univ. Sci. (2018)., https://doi.org/10.1016/j.jksus.2018.12.004.
  20. Ajay Kumar, A K Singh, Rajeev, A phase change problem including space-dependent latent heat and periodic heat flux, Nonlinear Dynamics and Systems Theory, 19 (1-SI) (2019) 178–185.

Ph.D. Supervision :

  • M. S. Kushwaha (Awarded in  2015)
  • Ajay Kumar (Thesis submitted)
  • AK Singh (Thesis submitted)
  • Kushal Dhar Drivedi (Ongoing)
  • Abhishek Kumar (Ongoing)
  • Mahesh Kumar (Ongoing)

M.Tech. Supervision:

  • Rahul Rajput (Awarded in  2013)
  • Purnima Lodha (Awarded in  2014)
  • Aditya Modi (Awarded in  2014)
  • Naresh Kumar Raigar (Awarded in  2015)
  • Shubham Agrawal (Awarded in  2016)
  • Kethavath Janardhan (Awarded in  2017)
  • Mayank Aharwar (Awarded in  2018)
  • Rishabh Dall (Awarded in  2018)
  • Ishkaran Mangat (Awarded in  2019)

Activities: 

  1. Treasurer in RTMMS-2010 (a National conference from March 18 - 20, 2010).
  2. Organizing Secretary and Treasurer in RTMMS-2011 (a National conference from March 25 - 27, 2011).
  3. Organizing Secretary and Treasurer in MMCS-2012 (a National Conference from March 23 - 25, 2012).
  4. Chair a session in 17th International Conference on Mathematical Sciences, Engineering and Applications (ICMSEA), July 4-5, 2015, Singapore.
  5. Chair a session in ICDECP19 , June 17-19, 2019 IIT Mandi.
  6. Reviewer in reputed journals.

paper presentation/invited talk/Lectures Delivered

  • National conference on recent trends in Mathematical Modeling and Simulation (RTMMS-2010) organized by Dept. of Applied Mathematics, I.T., BHU, Varanasi, March 18-20, 2010.Topic: A numerical study for a Stefan problem subject to the periodic boundary conditions.
  • National conference on Mathematical Modeling and Computer Simulation (MMCS-2011) organized by Dept. of Applied Mathematics (Under SAP), I.T., BHU, Varanasi, March 25-27, 2011.Topic: A numerical approach for a moving boundary problem with time-dependent boundary conditions
  • National conference on Mathematical Modeling and Computer Simulation (MMCS-2012) organized by Dept. of Applied Mathematics (Under SAP), Institute of Technology, BHU Varanasi, March 23-25, 2012.Topic: An approximate solution to a moving boundary problem in fluvio-deltaic sedimentation process.
  • A talk in International Conference on Recent Advances in Pure and Applied Mathematics, ANTALYA, TURKEY, Nov 6-9, 2014. Topic:An approximate solution to a problem of two moving boundaries governed with fractional time derivative in drug release devices.
  • 17th International Conference on Mathematical sciences, Engineering and Applications (ICMSEA), 2015, Singapore, July 4-5.Topic:A Numerical Solution Based On Operational Matrix of Differentiation of Shifted Second Kind Chebyshev Wavelets for a Stefan Problem.
  •  2nd International conference on Mathematical Techniques in Engineering Applications (ICMTEA 2016), Dehradun, Uttarakhand, April 29-30, 2016.Topic: Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem.
  • International Conference on Mathematical Modelling in Applied Sciences (ICMMAS’17) during July 24-28, 2017, in Peter the Great St. Petersburg Polytechnic University, Russia. Topic: A numerical solution of a moving boundary problem.
  • International Conference on Applied and Computational Mathematics (ICACM-2018) during November 23-25, 2018, IIT Kharagpur.                            Topic: A Spectral Collocation approach to a melting problem including variable thermal coefficients.
  • Invited talk in ICDECP19 during June 17-19, 2019, IIT Mandi. Topic: A Finite element approach to a moving boundary problem with variable thermal conductivity
     
  • Warden of ASN Bose Hostel, IIT (BHU) Varanasi.
  • Convener of the DUGC during 2017-18, Department of Mathematical Sciences, IIT(BHU) Varanasi.
  • a member of  BoG  of Rajkiya Engineering College, Ambedkar Nagar (UP)

1. A project of Science and Engineering Research Board (SERB) of the total cost of Rs. 2244000/- (Rs. Twenty Two Lakh Forty Four Thousand Only) for three years.
 Project No.: R&D/SERB/Math/18-19/02                   Project start date is 22-Feb-19
Topic: Study and Analysis of Mathematical Models of Moving Boundary Problems.