# 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

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

Kurukshetra, India

# Research Interests

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

# Foreign Visits

- Kent State University, Kent,
**USA**, 2013 - Martin-Luther University, Halle,
**Germany**, 2012 - 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

- 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. **Ram Jiwari**, A hybrid numerical scheme for the numerical solution of the Burgers’ equation, Computer Physics Communications, 188 (2015) 59-67.- 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. - 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. - 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. **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.- 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. - 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. - 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 - 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. **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.- 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. **Ram Jiwari**, Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation, Computer Physics Communications, 183 (2012) 2413-2423.- 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. **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.**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.- 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. - 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. **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.**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.- 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. - 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. - R.C. Mittal and
**Ram Jiwari**, Numerical Study of Two-Dimensional Reaction-Diffusion Brusselator System, Appl. Math. Comput., 217 (12) (2011), 5404-5415. **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.- 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. - 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. - 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. - 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

**Ram Jiwari,**Lie Group Analysis, Exact and Numerical Solutions of Variable Coefficients Coupled KdV–Burgers equation (Communicated)- Vikas Kumar, R. K. Gupta and
**Ram Jiwari**, Exact and numerical solutions of coupled short pulse equation with variable coefficients (Communicated) **Ram Jiwari**, Cosine Expansion Based Differential Quadrature Algorithm for Numerical Simulation of Two Dimensional Nonlinear Hyperbolic Equations with variable coefficients (Communicated)**Ram Jiwari**, A hybrid numerical scheme for numerical simulation of nonlinear Burgers' equation, (Communicated).**Ram Jiwari**and R.C. Mittal, A Comparison of two numerical schemes for the solution of time dependent Burgers-Huxley Equation, (Communicated).**Ram Jiwari**, Numerical solution of singularly perturbed boundary value problems using uniform Haar wavelet, (Communicated).

# Awards

- Cleared National Eligibility Test (NET) for
**Junior Research Fellowship and Lectureship**award conducted by Council of Scientific and Industrial Research (CSIR), 2005. - Qualified Graduate Aptitude Test in Engineering
**(GATE-AIR-38)**, 2011. - Qualified
**NBHM**Exam for PH.D fellowship, 2006. **Senior Research Fellowship**(2008-2010), CSIR

# Workshop/Conferences Attended

**New Frontiers in Numerical Analysis and Scientific Computing**(17-18 April, 2013) Conference held at Kent State University, USA (Paper Presented).**NUMDIFF-13**(2012) Conference & Symposium held at**Martin-Luther University**, Halle, GERMANY.- Workshop on
**FEM**held at**TIFR CAM Bangalore**from 2 July to 13 July, 2012. - Workshop on
**Differential Equations and Mathematical Modelling**, held at Delhi University, 9 to 11 Feb, 2012. - Symposium held at
**TIFR CAM Bangalore**Jan 2011. - One month School organized by
**NBHM at Panjab University Chandigarh**Dec 2008. - Symposium held at
**IISC Bangalore**2008. **NUMDIFF-12 (2009)**Conference & Symposium held at**Martin-Luther University**, Halle, GERMANY.**IAWS-CFD Workshop and Conference**held at IIT Roorkee, Roorkee, 2006.

# Reviewer of Refered Journals

- Mathematical Methods in the Applied Sciences ( Wiley Publication )
- Applied Mathematical Modelling (Elsevier)
- Computers and Mathematics with Applications (Elsevier)
- Nonlinear Dynamics (Springer)
- Engineering Computations (Emerald)
- International Journal of Numerical Methods for Heat and Fluid Flow (Emerald)
- 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