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Dr. Maheshwar Pathak

Dr. Maheshwar Pathak

Associate Professor, Mathematics

Maheshwar.pathak@sharda.ac.in

About

Dr. Maheshwar Pathak has completed his Ph.D. from MNNIT Allahabad (NIT, Allahabad) in 2010. Dr. Pathak is an associate professor in the department of mathematics. He has 13+ years of teaching and research experience. Prior to joining Sharda University, he was associated with DIT, University and University of Petroleum and Energy Studies (UPES), Dehradun as a teaching and research faculty. Dr. Pathak is a research-focused faculty and he has published 23 research papers in highly reputed journals. He has published some of his research articles with an impact factor of 1.9 to 6.8. His research expertise is in “Numerical Analysis of Differential Equations”. He has also completed one research project 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.  In addition to teaching and research activities, he also involved in many other academic activities like IQAC, NAAC, NBA, NIRF, etc.

Experience
  • 13+ years
Qualification
  • Ph.D. (NIT, Allahabad), GATE-2007
Award & Recognition

  • Received JRF Fellowship from 2007-2009 by MHRD, Govt. of India.
  • Received SRF Fellowship from 2009-2010 by MHRD, Govt. of India.
     

Research

  • Maheshwar Pathak and Pratibha Joshi. "Quasilinear Bessel polynomial collocation method for the solutions of nonlinear singular boundary value problems." International Journal of Modern Physics C (2023), (SCI Indexed, IF 1.9, World Scientific) 
    https://doi.org/10.1142/s0129183124400059 
  • Pratibha Joshi, Maheshwar Pathak, and Ji Lin. "Numerical study of generalized 2-D nonlinear Benjamin–Bona–Mahony–Burgers equation using modified cubic B-spline differential quadrature method." Alexandria Engineering Journal 67 (2023): 409-424. (SCI Indexed, IF 6.8, Elsevier)  https://doi.org/10.1016/j.aej.2022.12.055 
  • Maheshwar Pathak, Pratibha Joshi, and Kottakkaran Sooppy Nisar. "Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa method." Mathematics and Computers in Simulation 200 (2022): 186-198. (SCI Indexed, IF 4.6, Elsevier https://doi.org/10.1016/j.matcom.2022.04.030 
  • Maheshwar Pathak, Pratibha Joshi, and Kottakkaran Sooppy Nisar. "Numerical investigation of fluid flow and heat transfer in micropolar fluids over a stretching domain." Journal of Thermal Analysis and Calorimetry 147(19), (2022): 10637-10646. (SCI Indexed, IF 4.4, Springer) https://doi.org/10.1007/s10973-022-11268-w 
  • Pratibha Joshi, Maheshwar Pathak " Numerical Approximation of Nonlinear Duffing Oscillator Using a Coupled Approach ", Mathematical Modelling of Engineering Problems 9(3) (2022): 715-720. (SCOPUS Indexed) https://doi.org/10.18280/mmep.090318 
  • Deepak Bharadwaj, Natraj Mishra, Maheshwar Pathak " Kinematic and Singularity Analysis of 10 DOF Lower Body of Humanoid Robot", Mathematical Modelling of Engineering Problems 9(2) (2022): 484-490. (SCOPUS Indexed) https://doi.org/10.18280/mmep.090226 
  • Maheshwar Pathak and Pratibha Joshi, "Thermal Analysis of Some Fin Problems using Improved Iteration Method", International Journal of Applied and Computational Mathematics 7 (2021): 1-15. (SCOPUS Indexed, Springer Publications) https://doi.org/10.1007/s40819-021-00964-0 
  • 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 14 (9) (2021): 2150151. (SCOPUS Indexed, World Scientific) https://doi.org/10.1142/s1793557121501515 
  • Pratibha Joshi and Maheshwar Pathak, "Analytical Solution of Some Nonlinear Equations Arising in Heat Transfer." Turkish Online Journal of Qualitative Inquiry 12(7) (2021), pp. 1526–1530. https://www.tojqi.net/index.php/journal/article/view/3871
  • 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)  https://doi.org/10.37394/23206.2020.19.40 
  • Maheshwar Pathak and Pankaj Srivastava, “Certain Applications of WP-Bailey Pairs”, Asian-European Journal of Mathematics Vol. 12(03), (2019), 1950049 (14 pages). (SCOPUS Indexed, World Scientific) https://doi.org/10.1142/s1793557119500499 
  • 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) https://doi.org/10.1007/978-981-13-0761-4_35 
  • 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) https://doi.org/10.1007/978-981-13-0761-4_64 
  • 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, IF 1.9, Springer)  https://doi.org/10.1007/s10509-018-3415-x 
  • Maheshwar Pathak and Pankaj Srivastava, “Application of Symmetric Bilateral Bailey Transformation”, Kragujevac Journal of Mathematics Vol. 42(1), (2018), pp. 107--129. (SCOPUS Indexed) https://doi.org/10.5937/kgjmath1801107p 
  • 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. https://www.semanticscholar.org/paper/Numerical-Solution-of-Acoustic-Wave-Equation-Using-Pathak-Joshi/26da2cfdf165f633cfc49e6bec37a1422aef04b5
  • 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. https://ejournal.undip.ac.id/index.php/ijse/article/view/7711
  • 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.https://doi.org/10.14257/ijast.2014.69.05 
  • Maheshwar Pathak and Pankaj Srivastava, “A Report on Complete Mock Theta Functions of Order Eight”, Tbilisi Mathematical Journal Vol. 6, (2013) pp. 45¬--55. https://doi.org/10.32513/tbilisi/1528768936 
  • 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. http://www.ijma.info/index.php/ijma/article/view/1237
  • 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) https://www.scopus.com/record/display.uri?eid=2-s2.0-84906495053&origin=resultslist&sort=plf-f
  • 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)  https://www.scopus.com/record/display.uri?eid=2-s2.0-79960207893&origin=resultslist&sort=plf-f
  • 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) https://doi.org/10.4134/ckms.2009.24.4.629

Certifications

  • Foundations of Virtual Instruction, Course Certificate, 2020
  • Emerging Trends & Technologies in the Virtual K-12 Classroom, Course Certificate, 2020
  • Advanced Instructional Strategies in the Virtual Classroom, Course Certificate, 2020
  • Performance Assessment in the Virtual Classroom, Course Certificate, 2020
  • Virtual Teacher Final Project, Course Certificate, 2020
  • What is Data Science, Course Certificate, 2023
  • Tools for Data Science, Course Certificate, 2023
  • Data Science Methodology, Course Certificate, 2023
  • Python for Data Science, AI & Development, Course Certificate, 2023

Area of Interest

  • Numerical Analysis, Meshless Methods, Partial Differential Equations