Academic & Research Background

Post Doc Fellow Sept 2013

Institute of Industrial Mathematics

Ph.D July 2010

Department of Mathematics,
Indian Institute of Technology, Roorkee, India

Thesis Title: Numerical Treatment of Some Partial Differential Equations using Differential Quadrature Method


M.Sc. 2003 - 2005

Kurukshetra University,
Kurukshetra, India

Research Interests

  • Numerical Analysis
  • Numerical Solution of Partial Differential Equations
  • Differential Quadrature Method
  • Haar Wavelets Analysis

Foreign Visits

  1. Kent State University, Kent, USA, 2013

  2. Martin-Luther University, Halle, Germany, 2012

  3. Martin-Luther University, Halle, Germany, 2009

Teaching Experience

  • IIT Roorkee June, 2014 to Till Date
  • Thapar University Patiala May, 2011 to Aug, 2013
  • Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India (one year)
  • Teaching experience of B.tech students in IIT Roorkee (three year)
  • Teaching experience at Bhagwan Parshu Ram College (one year)

List Of Publications

Articles published/accepted in refereed journals

  1. Anjali Verma , Ram Jiwari , Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients, International Journal of Numerical Methods for Heat & Fluid Flow, 25 (7) (2015) 1574-1589.

  2. Ram Jiwari, A hybrid numerical scheme for the numerical solution of the Burgers’ equation, Computer Physics Communications, 188 (2015) 59-67.

  3. Vikas Kumar, Ram Jiwari and R K Gupta, Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients, Nonlinear Dynamics, 79 (2015) 455-464.

  4. Anjali Verma, Ram Jiwari and M. E. Koksal, Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions, Advances in Difference Equations,(2014) DOI:10.1186/1687-1847-2014-229.

  5. Anjali Verma, Ram Jiwari and Satish Kumar, A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation (Accepted in International Journal of Numerical Methods for Heat and Fluid Flow, 24 (7) (2014) 1390-1404.

  6. Ram Jiwari and Jinyun Yuan, A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes, Journal of Mathematical Chemistry, (2014) DOI 10.1007/s10910-014-0333-1.

  7. Vikas Kumar, Ram Jiwari and R K Gupta, Lie Group analysis, numerical and non-traveling wave solutions for the (2+1)-dimensional Diffusion–Advection equation with variable coefficient, Chinese Physics B, 23 (3) (2014) 030201.

  8. Vikas Kumar, Ram Jiwari and R K Gupta, Numerical Simulation of Two Dimensional Quasilinear Hyperbolic Equations by Polynomial Differential Quadrature Method, Engineering Computations, 30 (7) 2013, 892-909.

  9. Vikas Kumar, Ram Jiwari and R K Gupta, Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin-Bona-Mahony-Burger (BBMB) Equation, Communications in Theoretical Physics, 60 (2013) 175–182

  10. Vikas Kumar, Ram Jiwari and R K Gupta, Comparative Study of Travelling Wave and Numerical Solutions for the Coupled Short Pulse (CSP) Equation, Chinese Physics B, 22 (5) (2013) 050201.

  11. Ram Jiwari, R.C. Mittal and K K Sharma, A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation, Applied Mathematics and Computation, 219 (2013) 6680-6691.

  12. R C Mittal, Ram Jiwari and K K Sharma, A numerical scheme based on differential quadrature method to solve time dependent Burgers' equation, Engineering Computations, 30 (1) (2013) 117-131.

  13. Ram Jiwari, Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation, Computer Physics Communications, 183 (2012) 2413-2423.

  14. R.C. Mittal and Ram Jiwari, A differential quadrature method for solving Burgers'-type equation, International Journal of Numerical Methods for Heat and Fluid Flow, 22 (7), (2012), 880-895.

  15. Ram Jiwari, S. Pandit and R C Mittal, Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method, Computer Physics Communications, 183 (2012) 600-616.

  16. Ram Jiwari, S. Pandit and R C Mittal, A Differential Quadrature Algorithm to Solve the Two Dimensional Linear Hyperbolic Telegraph Equation with Diriclet and Neumann Boundary Conditions, Applied Mathematics and Computation, 218 (2012) 7279-7294.

  17. R.C. Mittal and Ram Jiwari, Differential Quadrature Method for Numerical Solution of coupled viscous Burgers' equations, Int. J. for Comput. Methods in Eng. Science and Mech, 13 (2012), 1-5.

  18. D. Sharma, Ram Jiwari, and Sheo Kumar, A comparative study of Modal matrix and finite elements methods for two point boundary value problems, Int. J. of Appl. Math. and Mech. 8 (13) (2012), 29-45.

  19. Ram Jiwari, Sapna Pandit and R C Mittal, A differential quadrature algorithm for the Numerical Solution of the Second-Order One dimensional Hyperbolic Telegraph Equation, Int J of Nonlinear Sciences, 13 (3) (2012), 259-266.

  20. Ram Jiwari, Dinkar Shrma and Sheo Kumar, Numerical solutions of two point boundary value problems using Galerkin-Finite element method, Int J of Nonlinear Sciences, 13 (2)(2012), 204-210.

  21. R.C. Mittal and Ram Jiwari, A Numerical Scheme for singularly perturbed Burger-Huxley Equation, J. Appl. Math. & Informatics, 29 (2011), No. 3-4, 813-829.

  22. R.C. Mittal and Ram Jiwari, A Numerical Scheme for Some Nonlinear Differential Equations Models in Biology, Int. J. for Comput. Methods in Eng. Science and Mech., 12 (3), (2011), 134-140.

  23. R.C. Mittal and Ram Jiwari, Numerical Study of Two-Dimensional Reaction-Diffusion Brusselator System, Appl. Math. Comput., 217 (12) (2011), 5404-5415.

  24. Ram Jiwari, Dinkar Shrma and Sheo Kumar, Galerkin-Finite Element Method for the numerical solution of Advection-Diffusion equation, IJPAM, 70 (3) (2011), 389-399.

  25. R.C. Mittal and Ram Jiwari, Numerical Study of Burger-Huxley Equation by Differential Quadrature Method, Int. J. of Appl. Math. and Mech., 5(8) (2009), 1-9.

  26. R.C. Mittal and Ram Jiwari, Differential Quadrature Method for Two Dimensional Burgers' Equations, Int. J. for Comput. Methods in Eng. Science and Mech, 10 (2009), 450-459.

  27. R.C. Mittal and Ram Jiwari, A Spectral Method for Suspension Bridge Model, Int. J. of Appl. Math. and Mech., 5(5) (2009), 66-75.

  28. R.C. Mittal and Ram Jiwari, Numerical Study of Fisher's Equation by using Differential Quadrature Method, Int. J. Information and systems Sciences, 5(1)(2008), 143-160.

Communicated in Refered Journals

  1. Ram Jiwari, Lie Group Analysis, Exact and Numerical Solutions of Variable Coefficients Coupled KdV–Burgers equation (Communicated)

  2. Vikas Kumar, R. K. Gupta and Ram Jiwari , Exact and numerical solutions of coupled short pulse equation with variable coefficients (Communicated)

  3. Ram Jiwari, Cosine Expansion Based Differential Quadrature Algorithm for Numerical Simulation of Two Dimensional Nonlinear Hyperbolic Equations with variable coefficients (Communicated)

  4. Ram Jiwari, A hybrid numerical scheme for numerical simulation of nonlinear Burgers' equation, (Communicated).

  5. Ram Jiwari and R.C. Mittal, A Comparison of two numerical schemes for the solution of time dependent Burgers-Huxley Equation, (Communicated).

  6. Ram Jiwari, Numerical solution of singularly perturbed boundary value problems using uniform Haar wavelet, (Communicated).

Awards

  1. Cleared National Eligibility Test (NET) for Junior Research Fellowship and Lectureship award conducted by Council of Scientific and Industrial Research (CSIR), 2005.

  2. Qualified Graduate Aptitude Test in Engineering (GATE-AIR-38), 2011.

  3. Qualified NBHM Exam for PH.D fellowship, 2006.

  4. Senior Research Fellowship (2008-2010), CSIR

Workshop/Conferences Attended

  1. New Frontiers in Numerical Analysis and Scientific Computing (17-18 April, 2013) Conference held at Kent State University, USA (Paper Presented).

  2. NUMDIFF-13 (2012) Conference & Symposium held at Martin-Luther University, Halle, GERMANY.

  3. Workshop on FEM held at TIFR CAM Bangalore from 2 July to 13 July, 2012.

  4. Workshop on Differential Equations and Mathematical Modelling, held at Delhi University, 9 to 11 Feb, 2012.

  5. Symposium held at TIFR CAM Bangalore Jan 2011.

  6. One month School organized by NBHM at Panjab University Chandigarh Dec 2008.

  7. Symposium held at IISC Bangalore 2008.

  8. NUMDIFF-12 (2009) Conference & Symposium held at Martin-Luther University , Halle, GERMANY.

  9. IAWS-CFD Workshop and Conference held at IIT Roorkee, Roorkee, 2006.

Reviewer of Refered Journals

  1. Mathematical Methods in the Applied Sciences ( Wiley Publication )

  2. Applied Mathematical Modelling (Elsevier)

  3. Computers and Mathematics with Applications (Elsevier)

  4. Nonlinear Dynamics (Springer)

  5. Engineering Computations (Emerald)

  6. International Journal of Numerical Methods for Heat and Fluid Flow (Emerald)

  7. International Journal of Nonlinear Science

Ph.D Students


  • Mr Om Prakash
  • Ms. Sunita Garhwal
  • Mr. Vikas Kumar
  • Ms. Anjali Verma
  • Miss Suman Sheoran

M.Sc. Thesis Students


  • Ms. Aanchal Chopra
  • Ms. Rishu Singla
  • Ms. Harwinder Kaur
  • Ms. Ramandeep Kaur
  • Ms. Jyoti Sharma
  • Ms Mandeep Kaur

References

Prof. Ramesh Chand Mittal

Relationship: Ph.D Supervisor

Professor
Department of Mathematics
Indian Institute of Technology, Roorkee
Uttarakhand - 247667, India
Email: rcmmmfma@iitr.ernet.in ; mittalrc@gmail.com
Phone: +91-9319912030


Dr. Kapil Kumar Sharma

Relationship: Research Collaborator

Associate Professor
Department of Mathematics
South Asian University, New Delhi
India
Email: kapilks@pu.ac.in
Phone: +91-9855682505


Dr. N. Sukavanam

Relationship: Ph.D Course Work

Professor
Department of Mathematics
Indian Institute of Technology, Roorkee
Uttarakhand - 247667, India
Email: nsukvfma@iitr.ernet.in
Phone: +91-1332-285341