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,**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**

**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.**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.- 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. **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.- 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. - 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. **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.**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.**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.**Rajeev**, Homotopy perturbation method for a Stefan problem with variable latent heat,*Thermal Science*18 (2014), pp. 391-398.**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).**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.**Rajeev**and A.K. Singh, Homotopy analysis method for a fractional Stefan problem,*Nonlinear Sci. Lett. A,*8(2017) 50-59.**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).**,****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.- 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. - 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. - 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.
- 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. - 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:

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