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Rajan Arora
Professor
rajan.arora[at]as.iitr.ac.in
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Patents
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Applied Mathematics, Partial Differential Equations, Different Solutions Methods of Partial Differential Equations
BioSketch
Educational Details
IIT Bombay
2005
PhD, Mathematics
University of Roorkee
1998
M.Sc., Applied Mathematics
Professional Background
ASSISTANT PROFESSOR
01 Jan 2009 - 01 Jan 2014
IIT ROORKEE, SAHARANPUR CAMPUS
Research
Publications

1. Siddiqui M.J., Arora R., Singh V.P. (2017). Propagation of non-linear waves in a non-ideal relaxing gas. International Journal of Computer Mathematics. 1-13.

2. Siddiqui M.J., Arora R., Kumar A. (2017). Shock waves propagation under the influence of magnetic field. Chaos, Solitons and Fractals. Volume-97. 66-74.

3. Arora R., Sharma A. (2016). Similarity solutions of cylindrical shock waves in magnetogasdynamics with thermal radiation. Journal of Computational and Nonlinear Dynamics. Volume-11. Issue-3.

4. Siddiqui M.J., Arora R. (2015). An Exact Similarity Solution for Spherical Shocks in a Relaxing Gas. National Academy Science Letters. Volume-38. Issue-5. 433-435.

5. Sharma A., Arora R. (2015). Analytical and numerical solutions of two-dimensional brusselator system by modified variational iteration method. Advances in Intelligent Systems and Computing. Volume-336. 439-449.

6. Arora R., Yadav S., Siddiqui M.J. (2014). Similarity method for the study of strong shock waves in magnetogasdynamics. Boundary Value Problems. Volume-2014. Issue-1. 1-15.

7. Tomar A., Arora R. (2014). Numerical simulation of coupled MKdV equation by reduced differential transform method. Journal of Computational Methods in Sciences and Engineering. Volume-14. 269-275.

8. Arora R., Siddiqui M.J., Singh V.P.(2013). Similarity method for imploding strong shocks in a non-ideal relaxing gas. International Journal of Non-Linear Mechanics. Volume-57. 1-9.

9. Arora R., Yadav S. (2013). Traveling wave solutions of the generalized Boussinesq system by (G′/G)-expansion method. Canadian Applied Mathematics Quarterly. Volume-21. Issue-1. 1-8.

10. Arora R., Siddiqui M.J., Singh V.P. (2012). Wave interaction and resonance in a non-ideal gas. Chinese Physics Letters. Volume-29. Issue-12.

11. Arora R., Tomar A., Pal Singh V. (2012). Similarity Solutions for Strong Shocks in a Non-Ideal Gas. Mathematical Modelling and Analysis. Volume-17. Issue-3. 351-365.

12. Arora R. (2009). Asymptotical solutions for a vibrationally relaxing gas. Mathematical Modelling and Analysis. Volume-14. Issue-4. 423-434.

13. Arora R., Tomar A., Singh V.P. (2009). Shock waves in reactive hydrodynamics. Shock Waves. Volume-19. Issue-2. 145-150.

14. Arora R. (2008). Non-planar shock waves in a magnetic field. Computers and Mathematics with Applications. Volume-56. Issue-10. 2686-2691.

15. Arora R., Sharma V.D. (2006). Convergence of strong shock in a Van der Waals gas. SIAM Journal on Applied Mathematics. Volume-66. Issue-5. 1825-1837.

16. Sharma V.D., Arora R. (2005). Similarity solutions for strong shocks in an ideal gas. Studies in Applied Mathematics. Volume-114. Issue-4. 375-394.

Students
SuperVisions
Analytical and Numerical Studies of Shock Waves in Gasdynamics and Certain Problems of PDEs
01 Jan 2008 - Present
Other Supervisors: PROF. V P SINGH, DPT, Scholar: AMIT TOMAR
On Shock Waves Propagation in Gasdynamics and Some Problems involving Non-linear PDEs
01 Jan 2009 - Present
Other Supervisors: Prof. V P Singh, Scholar: Mohd. Junaid Siddiqui
Numerical and Analytical Solutions of Some Non-linear Partial Differential Equations
01 Jan 2010 - Present
Other Supervisors: None, Scholar: Sanjay Yadav
Analysis of Shock waves and other Non-linear Evolution Equations
01 Jan 2010 - Present
Other Supervisors: None, Scholar: Anoop Kumar
Analytical and Numerical Solutions of Certain Non-linear PDEs
01 Jan 2011 - Present
Other Supervisors: None, Scholar: Ankita Sharma
Solutions of Certain Non-Linear PDEs with Applications
01 Jan 2013 - Present
Other Supervisors: None, Scholar: Hariom Sharma
Miscellaneous
Administrative Positions
OC, Hobbies Club
01 Jan 2013 - Present
Saharanpur Campus
Member, Time Table Committee
01 Jan 2013 - Present
Saharanpur Campus
OC Reprography Section
01 Jan 2010 - 01 Jan 2014
IIT Roorkee Saharanpur Campus
NSS, CO-COORDINATOR
01 Jan 2007 - 01 Jan 2013
IIT ROORKEE, SAHARANPUR CAMPUS