Faculty Department

Dr. Pratibha Joshi

Assistant Professor - Senior Scale

B.Sc. Kumaun University, Nainital, Uttarakhand, 2004

M.Sc. (Applied Mathematics), IIT Roorkee, 2006

Ph.D. (Mathematics), Motilal Nehru National Institute of Technology, Allahabad, 2011

Area of Specialization:

Numerical Analysis, Computational Mathematics, Differential Equations

Career Graph:

  • From 11-07-2011 to 7-8-2012 at Graphic Era University, Dehardun( Uttarakahnd) as assistant professor in department of mathematics.
  • From 8-8-2012 to till the date working as assistant professor-senior scale in department of mathematics, University of Petroleum & Energy Studies, Dehradun( Uttarakahnd).

No. Papers published in journals: 15

No. Papers presented in conferences: 07

No. Citations: 74

Recent Publications:

  • Maheshwar Pathak, Pratibha Joshi, K S Nisar, “Numerical investigation of fluid flow and heat transfer in micropolar fluids over a stretching domain”, Journal of Thermal Analysis and Calorimetry, (2022), 1-10. (SCI Indexed, Impact factor-4.626, Springer Publication)
  • Maheshwar Pathak and Pratibha Joshi, “Thermal Analysis of Some Fin Problems using Improved Iteration Method”, International Journal of Applied and Computational Mathematics, Vol. 7(2), (2021), pp. 1-15. (Scopus Indexed, Springer Publication)
  • Pratibha Joshi, Maheshwar Pathak, “Analytical Solution of Some Nonlinear Equations Arising in Heat Transfer”, Turkish Online Journal of Qualitative Inquiry (TOJQI), Vol. 12(7),(2021), 1526-1530.
  • Maheshwar Pathak and Pratibha Joshi, “Modified Iteration Method for Numerical Solution of Nonlinear Differential Equations Arising in Science and Engineering”, Asian-European Journal of Mathematics, Vol. 14(9), (2020), (Scopus Indexed, World Scientific Publication)
  • Pratibha Joshi and Maheshwar Pathak, “A Coupled Approach to Solve the Family of Kuramato-Sivashinsky Equations”, WSEAS Transactions on Mathematics Vol. 19, (2020), pp. 391-397. (Scopus Indexed)
  • Maheshwar Pathak, Pratibha Joshi, “High-Order Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation, Harmony Search and Nature Inspired Optimization Algorithms”, 357-370(2019). (Scopus Indexed, Springer Publication).
  • Pratibha Joshi, Maheshwar Pathak, “A Coupled Approach for Solving a Class of Singular Initial Value Problems of Lane–Emden Type Arising in Astrophysics”, Harmony Search and Nature Inspired Optimization Algorithms, 669-678(2019). (Scopus Indexed, Springer Publication)
  • Maheshwar Pathak, Pratibha Joshi, “Application of a coupled approach for the solution of nonlinear singular initial value problems of Lane–Emden type”, Astrophysics and Space Science, 363 (9), 191, (2018).(SCI Indexed, Springer Publication)
  • Maheshwar Pathak, Pratibha Joshi, “Numerical Solution of Acoustic Wave Equation Using Method of Lines”, World Journal of Modelling and Simulation 14, 243-25(2018).
  • Pratibha Joshi, Maheshwar Pathak, “A High Order Solution of Three Dimensional Time Dependent Nonlinear Convective-Diffusive Problem using Modified Variational Iteration Method”, International Journal of Science and Engineering, 8(1),1-5(2015).
  • Pratibha Joshi, Manoj Kumar, “Mathematical Modelling and Numerical Simulation of Temperature Distribution in Inhomogeneous Composite Systems with Imperfect Interface”, Engineering Structures and Technologies, 6(2),77–85(2014). (Taylor & Francis Journal)
  • Maheshwar Pathak, Pratibha Joshi, “High Order Numerical Solution of an Volterra Integro-Differential Equation Arising in Oscillating Magnetic Fields using Variational Iteration Method”, International Journal of  Advanced Science and Technology, Vol.69 (2014), pp.47-56.
  • Manoj Kumar, Pratibha Joshi, “Mathematical Modelling and Computer Simulation of Steady State Heat Conduction in Anisotropic Multi-Layered Bodies”, International Journal of Computing Science and Mathematics, Vol. 4, No. 2, 2013,85-119.(Scopus Indexed)
  • Manoj Kumar, Pratibha Joshi,“Some Numerical Techniques to Solve Elliptic Interface Problems”,Numerical Methods for Partial Differential Equations, 28(2012), Pages 94-114.(SCI Indexed, Willey Blackwell Publications)
  • Pratibha Joshi, Manoj Kumar, “Mathematical Model and Computer Simulation of Three Dimensional Thin Film Elliptic Interface Problems”, Computers & Mathematics with Applications, 63(2012), Issue 1, Pages 25-35. (SCI Indexed, Publisher Elsevier)
  • Manoj Kumar, Pratibha Joshi,“A Mathematical Model and Numerical Solution of a One Dimensional Steady State Heat Conduction Problem by Using High Order Immersed Interface Method on Non-Uniform Mesh” ,  International Journal of Nonlinear Science (IJNS),l.14(2012) No.1,pp.11-22.

Research & Publications:

  • Manoj Kumar, Pratibha Joshi,“Some Numerical Techniques to Solve Elliptic Interface Problems”, Numerical Methods for Partial Differential Equations, (Publisher- Willey- Blackwell, Impact Factor-1.427), 28(2012), Pages 94-114
  • Pratibha Joshi, Manoj Kumar, “Mathematical Model and Computer Simulation of Three Dimensional Thin Film Elliptic Interface Problems”, Computers & Mathematics with Applications (Publisher Elsevier, Impact Factor-1.532), 63(2012), Issue 1, Pages 25-35
  • Manoj Kumar, Pratibha Joshi,“A Mathematical Model and Numerical Solution of a One Dimensional Steady State Heat Conduction Problem by Using High Order Immersed Interface Method on Non-Uniform Mesh” , International Journal of Nonlinear Science (IJNS). Vol.14(2012) No.1,pp.11-22
  • Manoj Kumar, Pratibha Joshi, “Mathematical Modelling and Computer Simulation of Steady-State Heat Conduction in Anisotropic Multi-Layered Bodies”, International Journal of Computing Science and Mathematics, Vol. 4, No. 2, 2013
  • Pratibha Joshi, Manoj Kumar, “Mathematical Modelling and Numerical Simulation of Temperature Distribution in Inhomogeneous Composite Systems with Imperfect Interface” , Accepted for publication in Engineering Structures and Technologies(Taylor & Francis Journal)
  • Maheshwar Pathak, Pratibha Joshi, “High Order Numerical Solution of a Volterra Integro-Differential Equation Arising in Oscillating Magnetic Fields using Variational Iteration Method”, Accepted for publication in International Journal of  Advanced Science and Technology.

Conference Presentation/Participation:

  • Manoj Kumar, Pratibha Joshi, “Numerical Solution of a Steady State Heat Conduction Problem using High Order Immersed Interface Method on Non-Uniform Mesh” in 11th International Conference of the International Academy of Physical Sciences, February 20-22, 2010, University of Allahabad.
  • Manoj Kumar, Pratibha Joshi, “Numerical Simulation of Steady State Heat Conduction in multi-Layered Bodies” in National Conference on Recent Trends in Mathematical Modelling and Simulation (RTMMS-2010) , March 18-20 ,2010 , IIT BHU Varanasi.
  • Pratibha Joshi, Manoj Kumar, “Thermal analysis of composite systems with imperfect interface” in 26th annual conference of mathematical society-BHU,on recent trends in analysis and modelling on Nov 28-29 ,2010 at Banaras Hindu University, Varanasi.
  • Manoj Kumar, Pratibha Joshi, “Computer Simulation of Temperature Distribution in Multilayered Systems” in National Conference On Evolution Equations: Theory, Methods & Applications (NCEETMA – 2012) during December 7 – 8, 2012 at IIT Kanpur under National Programme on Differential Equations: Theory, Computation & Applications (NPDE-TCA).
  • Maheshwar Pathak, Pratibha Joshi “High Order Numerical Solution of Euler- Bernoulli Beam Equation”at International Conference on “Innovative Trends in Natural/ Applied Sciences and Energy Technology for Sustainable Development (ITNASETSD- 2013) Organized by “Krishi Sanskriti” on 27th & 28th July, 2013 at Jawaharlal Nehru University, New Delhi.  
  • Pratibha Joshi, Maheshwar Pathak, “Method of Lines for Acoustic Wave Equation” at International Conference on Recent Trends in Mathematical Analysis and its Applications” organised by Department of Mathematics at IIT Roorkee on 21-23 December 2014.
  • Pratibha Joshi, Maheshwar Pathak, “A Coupled Approach for Solving a Class of Singular Initial Value Problems of Lane-Emden Type Arising in Astrophysics” at BML Munjal University, Gurugram, Haryana on 7-9 February 2018.

Projects or Ph.D.’s guided:

  • Major Research Project: A project of two years is completed as PI with Dr. Maheshwar Pathak (Co-PI) entitled “High Order Numerical Solution of Some Differential Equations Arising in Engineering using Non Standard Numerical Techniques” funded by Uttarakhand State Council for Science and Technology (UCOST), Dehradun in 2015.
  • Minor Projects:
S.No. Title Supervisor
1. A STUDY ON CONTINUOUS NOWHERE DIFFRENTIAL FUNCTIONS Prof. R.C. Mittal ,
IIT Roorkee
2. SOME NEWTON- LIKE METHODS TO SOLVE A NONLINEAR EQUATION Prof. R.C. Mittal ,
IIT Roorkee
3. NUMERCAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS Dr. Manoj Kumar
NIT Allahabad

Professional Memberships/Fellowship:

  • Life member of ISIAM (Indian Society of Industrial and Applied Mathematics).
  • Life member of IAENG(Indian Society of Engineers).

Honours and Achievements:

  • Got 12 th rank in Uttaranchal State in intermediate examination.
  • Got two state level scholarships.
  • Got 1 st rank in college in B.Sc.
  • Got JRF Fellowship by MHRD from July 2007 to July 2009.
  • Got SRF Fellowship by MHRD from August 2009 to February 2011.

Personal interests: Numerical Analysis, Computational Mathematics, Differential Equations