Dr. Rajnesh Mudaliar

Dr. Rajnesh Mudaliar

Position: Assistant Professor
School: School of Mathematical & Computing Science
Email: rajnesh.mudaliar@fnu.ac.fj
Campus: Natabua Campus – Lautoka
Phone: 6667355 ext. 7073

Biography:

Dr. Rajnesh Mudaliar is an Assistant Professor in Mathematics at the School of Mathematical & Computing Sciences. Dr. Mudaliar has made contributions applied mathematics.

Qualification:

  • Doctor of Philosophy, University of New England, Armidale NSW Australia.
  • Master of Mathematics, University of Fiji.
  • Postgraduate Diploma in Applied Mathematics.
  • Bachelor of Science Graduate Certificate in Education (majors Mathematics and Physics)

Area of Expertise:

  • Analysis and modelling collective animal motion.
  • Collective Decision Making.
  • Mathematical modelling.
  • Numerical analysis.
  • Data analysis.

Journals:

  • Mudaliar RK, Schaerf TM (2023) An examination of force maps targeted at orientation interactions in moving groups. PLoS ONE 18(9): e0286810. https://doi.org/10.1371/journal.pone.0286810
  • Khan, K., Mudaliar, R.K. & Islam, S.M.R. Traveling Waves in Two Distinct Equations: The (1+1)-Dimensional cKdV–mKdV Equation and The sinh-Gordon Equation. Int. J. Appl. Comput. Math 9, 21 (2023). https://doi.org/10.1007/s40819-023-01503-9
  • Mudaliar, R.K., Zvezdin, A.V., Bratt, G.S. et al. Systematic Analysis of Emergent Collective Motion Produced by a 3D Hybrid Zonal Model. Bull Math Biol 84, 16 (2022). https://doi.org/10.1007/s11538-021-00977-2
  • Mudaliar RK, Schaerf TM (2020) Examination of an averaging method for estimating repulsion and attraction interactions in moving groups. PLoS ONE 15(12): e0243631. https://doi.org/10.1371/journal.pone.0243631
  • SN Gupta, Rajnesh K Mudaliar, Kuldeep Kumar, “Stochastic fractional programming for minimizing variability”, Taylor & Francis, 2018/2/17,vol 39, issue 2, pages 495-501, https://doi.org/10.1080/02522667.2017.1378420
  • Rajnesh Krishnan Mudaliar and Kuldeep Narain, “Certain Dual Series Equations Involving Generalized Laguerre Polynomials”, International Journal of Computational and Applied Mathematics, ISSN 1819-4966 Volume 11, Number 1 (2016), pp. 55-59.
  • Rajnesh Krishnan Mudaliar and Kuldeep Narain, “Certain Quadruple Integral Equations”, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768 Volume 12, Number 4 (2016), pp. 2867-2875

Conference:

  • R.K. Mudaliar and T.M. Schaerf, “Systematic analysis of a hybrid zonal model”, AUSTMS 2020, Online Conference, 8-11 December 2020.
  • R.K. Mudaliar, Y. Du and T.M. Schaerf, “Validation of methods for inferring rules of interaction that govern collective motion”, The 23rd International congress on modelling and simulation (MODSIM2019), National convention centre, Canberra, 1-6 December 2019.
  • K. Ramanuja Rao; Rajnesh K. Mudaliar; M. K. Hasan; M. K. Alam, “A perfect Mathematical Formulation of Fuzzy Transportation Problem Provides an Optimal Solution Speedily”, 2016 3rd Asia-Pacific World Congress on Computer Science and Engineering (APWC on CSE). DOI: 10.1109/APWC-on-CSE.2016.051
  • Mudaliar Rajnesh K and Rao Ramanuja K and Shahjalal M and Mitra Nirmal K, “Solution of Interval Valued Fuzzy Relation Equations”, IEEE Asia-Pacific World Congress on Computer Science and Engineering, Shangrila-La Fijian Resort, Fiji, 2015. DOI: 10.1109/APWCCSE.2015.7476227
  • Rajnesh Krishnan Mudaliar and Sofia Shah, “Mathematical models for solar drying of local food items”, Symposium on Renewable Energy Technologies, 2011, FNU.
  • Sofia Shah and Rajnesh Krishnan Mudaliar,” Solar Electricity Potential: A case study of the FNU, Lautoka campus, Symposium on Renewable Energy Technologies 2011, FNU.

Teaching interest:

  • Calculus
  • Linear algebra
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Complex Analysis
  • Statistics with R
  • Numerical Analysis with MATLAB

Research interest:

  • Agent based modelling
  • Collective motion of animals
  • Machine learning
  • Data analysis