Faculty Department

Dr. Maheshwar Pathak

Assistant Professor - Selection Grade (DOJ - 03.07.2010, Regular)

B.Sc. (PCM),  Purvanchal University, Jaunpur, Uttar Pradesh, 2002

M.Sc. (Mathematics), Purvanchal University, Jaunpur, Uttar Pradesh, 2004

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

Area of Specialization:

Special functions, Numerical Analysis, Applied Mathematics, Computational Mathematics, Differential equations.

Career Graph:

  • Lecturer: DIT, Dehradun, for 03 Months(12 April 2010 - 01 July 2010)
  • Lecturer: UPES, Dehradun, for 01 Year(03 July 2010 - 03 July 2010)
  • Assistant Professor: UPES, Dehradun, for 10 Years & 09 Months (01 July 2011 - Till Now)

No. Papers published in journals: 19

No. Papers presented in conferences: 06

No. Citations: 32

Recent Publications:

  • Maheshwar Pathak, Pratibha Joshi and 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). https://doi.org/10.1007/s10973-022-11268-w (SCI Indexed with IF 4.626, Springer Publication)
  • D Bharadwaj, N Mishra, Maheshwar Pathak, “Kinematic and Singularity Analysis of 10 DOF Lower Body of Humanoid Robot”, accepted for publication in Mathematical Modelling of Engineering Problems (2022). (Scopus Indexed)
  • 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 and Maheshwar Pathak, “Analytical Solution of Some Nonlinear Equations Arising in Heat Transfer”, Turkish Online Journal of Qualitative Inquiry (TOJQI) Vol. 12, No. 7,  (2021), pp. 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, No. 9, (2021), https://doi.org/10.1142/S1793557121501515.  (Scopus Indexed)
  • 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 and Pankaj Srivastava, “Certain Applications of WP-Bailey Pairs”, Asian-European Journal of Mathematics Vol. 12, No. 1, (2019) 1950049 (14 pages). (Scopus Indexed)
  • Maheshwar Pathak and Pratibha Joshi, “High Order Compact Finite Difference Scheme for Euler- Bernoulli Beam Equation”, Advances in Intelligent Systems and Computing Vol. 741, (2019), pp. 357--370. (Scopus Indexed, Springer Publication)
  • Pratibha Joshi and Maheshwar Pathak, “A coupled approach for solving a class of singular initial value problems of lane–Emden type arising in astrophysics”, Advances in Intelligent Systems and Computing Vol. 741, (2019), pp. 669--678. (Scopus Indexed, Springer Publication)
  • Maheshwar Pathak and Pratibha Joshi, “Application of a coupled approach for the solution of nonlinear singular initial value problems of Lane–Emden type”, Astrophysics and Space Science Vol. 363, No. 9, (2018), 191(10 pages). (SCI Indexed with IF 1.885, Springer Publication)
  • Maheshwar Pathak and Pankaj Srivastava, “Application of Symmetric Bilateral Bailey Transformation”, Kragujevac Journal of Mathematics Vol. 42(1), (2018), pp. 107--129. (Scopus Indexed)
  • Maheshwar Pathak and Pratibha Joshi, “Numerical Solution of Acoustic Wave Equation Using Method of Lines”, World Journal of Modelling and Simulation Vol. 14(4), (2018), pp. 243--256.
  • Maheshwar Pathak and Pratibha Joshi, “A High Order Solution of Three Dimensional Time Dependent Nonlinear Convective-Diffusive Problem using Modified Variational Iteration Method”, International Journal of Science and Engineering Vol. 8(1), (2015) pp. 1­--5.
  • Maheshwar Pathak and Pratibha Joshi, “High Order Numerical Solution of a 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.
  • Maheshwar Pathak and Pankaj Srivastava, “A Report on Complete Mock Theta Functions of Order Eight”, Tbilisi Mathematical Journal Vol. 6, (2013) pp. 45­--55. (WOS, ESCI Indexed)
  • Maheshwar Pathak and Pankaj Srivastava, “Certain New Continued Fractions for the Ratio of Two 3ψ3 Series”, International Journal of Mathematical Archive Vol. 3, No. 5, (2012) pp. 1802­--1810.
  • Pankaj Srivastava and Maheshwar Pathak, “A Note on Second Order Mock Theta Functions”, Mathematical Sciences Research Journal Vol. 15, No. 10, (2011) pp. 300­--308. (Scopus Indexed)
  • Maheshwar Pathak and Pankaj Srivastava, “A Note on Continued Fractions and 3ψ3 Series”, Italian Journal of Pure and Applied Mathematics Vol. 27, (2010) pp. 191­--200. (Scopus Indexed)
  • Maheshwar Pathak and Pankaj Srivastava, “Certain Relations for Mock Theta Functions of Order Eight”, Communication of Korean Mathematical Society Vol. 24, No. 4, (2009) pp. 629--640. (Scopus Indexed)

Research & Publications:

  • Maheshwar Pathak and Pankaj Srivastava, Certain Relations for Mock Theta Functions of Order Eight. Published in Communication of Korean Mathematical Society Vol. 24, No. 4, (2009) pp. 629—640
  • Maheshwar Pathak and Pankaj Srivastava,  A Note on Continued Fractions and 3ψ3 Series. Published in Italian Journal of Pure and Applied Mathematics Vol. 27, (2010) pp. 191¬--200
  • Maheshwar Pathak and Pankaj Srivastava, Certain New Continued Fractions for the Ratio of Two 3ψ3 Series. Published in International Journal of Mathematical Archive Vol. 3, No. 5, (2012) pp. 1802¬--1810
  • Maheshwar Pathak and Pankaj Srivastava, A Report on Complete Mock Theta Functions of Order Eight. Published in Tbilisi Mathematical Journal Vol. 6, (2013) pp. 45¬--55
  • Maheshwar Pathak, Pratibha Joshi, “High Order Numerical Solution of an 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 Presentations

  • “High Order Compact Finite Difference Scheme for Euler-Bernoulli Beam Equation” in the “4th International Conference on Harmony search, Soft Computing and Applications” at BML Munjal University, Gurgaon, February, 7-9, 2018.
  • “Application of Variational Iteration Method in Solving Integro-Differential Equation Arising in Oscillating Magnetic Fields” in the “International Conference on Recent Trends in Mathematical Analysis and Its Applications” at IIT, Roorkee, December, 21-23, 2014.
  • “Certain New Relations for Basic Hypergeometric Series” in the International conference on “Innovative Trends in Natural/Applied Sciences and Energy Technology for Sustainable Development” at JNU, New Delhi, July, 27-28, 2013.
  • “Comparison of Method of Lines with Standard Finite Difference Method by Solving Acoustic Wave Equation” in the “National Workshop and Conference on Evolution Equation: Theory, Methods & Applications” at IIT, Kanpur, December, 2-8, 2012.
  • “Transformation Formulae for Multi Basic Hypergeometric Series” in the “13th International Conference of the International Academy of Physical Sciences” at University of Petroleum & Energy Studies, Dehradun, June, 14-16, 2011.
  • “Certain Relations for the Mock Theta Functions of Order Eight” in the National Conference on “Recent Development in Engineering Mathematics & Information Technology” at Poornima college of Engineering, Jaipur, December, 25-26, 2009.

Projects or Ph.D.’s guided:

  • Major Research Project:

    A project of two years is completed as CO-PI with Dr. Pratibha Joshi (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 Research Project:

    Co-Supervised minor project of APE UP students entitled “Optimizing oil production by regulating the factors involved by using mathematical optimization techniques and programming languages” December 2020.

Professional Memberships/Fellowship:

  • Life time member of ISMAMS (Indian Society of Mathematics and Mathematical Science).
  • Member of IAENG (International Association of Engineers).
  • Editorial board member of “International Journal of Education and Science Research Review” (E-ISSN: 2348 – 6457, P-ISSN: 2349 - 1817).

Honours and Achievements:

  • Got JRF Fellowship by MHRD from July 2007 to July 2009.
  •  Got SRF Fellowship by MHRD from August 2009 to March 2010.
  • Qualified GATE (Graduate Aptitude Test in Engineering) Examination in 2007.

Personal interests:

Numerical Analysis, Computational Mathematics and Differential Equation.