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Dr. USHA RANI | MATHEMATICAL MODELING |Women Researcher Award 

ASSOCIATE PROFESSOR at MEENAKSHI COLLEGE OF ENGINEERING,  India

Dr. R. Usha Rani is an Associate Professor of Mathematics at Meenakshi College of Engineering, Chennai, with over a decade of academic experience. She specializes in nonlinear differential equations and graph theory. Dr. Usha Rani completed her Ph.D. in Mathematics in 2022, focusing on the analytical and numerical solutions of nonlinear differential equations arising in physical and chemical sciences. She has a strong publication record in SCI and Scopus-indexed journals, with research contributions in biosensors, electrochemical processes, and reaction-diffusion equations.

 

Publication profile

Scholar

🎓 Educational Qualifications

Ph.D. in Mathematics (2022) AMET University, Chennai Thesis: Analytical and Numerical solution of nonlinear differential equations arising in Physical and Chemical sciences. B.Ed. in Mathematics (2018) Tamil Nadu Teachers Education University, Chennai First class with distinction (75.6%). M.Phil. in Mathematics (2009) Bharathidasan University, Porayar First class (78.16%). M.Sc. in Mathematics (2008) Bharathidasan University, Porayar First class with A++ grade (70.69%). B.Sc. in Mathematics (2006) Bharathidasan University, Nagapattinam First class (68.86%)

🏆 Awards & Honors

  • Best Researcher Award (2023)
    YouTube Link
  • Reviewer Awards
    • International Journal of Electrochemical Science
    • Heliyon (2 times)

📊 Research Metrics

  • Scopus Author ID: Link
  • ORCID ID: Link
  • Vidwan ID: Link
  • Google Scholar: Link
    • Citations: 166
    • h-Index: 6
    • i10-Index: 4

🔍 Area of Interest

  • Nonlinear Differential Equations
  • Graph Theory (Domination Theory)

👩‍🏫 Guideship

  • Applied for ANNA University guideship (currently under processing).

💻 IT Skills

  • Proficient in Matlab, Maple, and Computer Fundamentals

👩‍🏫 Professional Experience

Associate Professor of Mathematics Meenakshi College of Engineering, Chennai November 2021 – Present Served as NAAC Criteria II Incharge. Assistant Professor of Mathematics St. Joseph College of Arts and Science, Kovoor June 2015 – September 2016. Assistant Professor of Mathematics Dhanalakshmi Srinivasan College of Arts & Science for Women, Perambalur July 2012 – April 2013. Lecturer in Mathematics E.G.S. Pillay Polytechnic College, Nagapattinam July 2011 – July 2012. Lecturer in Mathematics
E.G.S. Pillay Arts & Science College, Nagapattinam January 2010 – July 2011

Publication

  • Taylor’s Series Method for Solving the Nonlinear Reaction-Diffusion Equation in the Electroactive Polymer Film
    • Authors: R.U. Rani, L. Rajendran
    • Published In: Chemical Physics Letters, 754, 137573
    • Year: 2020
    • Citations: 49

 

  • Steady-State Current in Product Inhibition Kinetics in an Amperometric Biosensor: Adomian Decomposition and Taylor Series Method
    • Authors: R.U. Rani, L. Rajendran, M.E.G. Lyons
    • Published In: Journal of Electroanalytical Chemistry, 886, 115103
    • Year: 2021
    • Citations: 37

 

  • Nonlinear Mass Transfer at the Electrodes with Reversible Homogeneous Reactions: Taylor’s Series and Hyperbolic Function Method
    • Authors: L.C. Mary, R.U. Rani, A. Meena, L. Rajendran
    • Published In: International Journal of Electrochemical Science, 16(1), 151037
    • Year: 2021
    • Citations: 19

 

  • Transport and Kinetics in Biofiltration Membranes: New Analytical Expressions for Concentration Profiles of Hydrophilic and Hydrophobic VOCs Using Taylor’s Series and Akbari-Ganji’s Method
    • Authors: S.A.S. Sivasundari, R.U. Rani, M.E.G. Lyons, L. Rajendran
    • Published In: International Journal of Electrochemical Science, 17(4), 220447
    • Year: 2022
    • Citations: 12

 

  • Mathematical Modelling of Forced Convection in a Porous Medium for a General Geometry: Solution of Thermal Energy Equation via Taylor’s Series with Ying Buzu Algorithms
    • Authors: K.L. Narayanan, R. Shanthi, R.U. Rani, M.E.G. Lyons, L. Rajendran
    • Published In: International Journal of Electrochemical Science, 17(6), 220623
    • Year: 2022
    • Citations: 9

 

  • Mathematical Modelling of Amperometric Glucose Biosensor Based on Immobilized Enzymes: New Approach of Taylor’s Series Method
    • Authors: K.L. Narayanan, J. Kavitha, R.U. Rani, M.E.G. Lyons, L. Rajendran
    • Published In: International Journal of Electrochemical Science, 17(10), 221064
    • Year: 2022
    • Citations: 8

 

  • Theoretical Analysis of Amperometric Response Towards PPO-Based Rotating Disk Bioelectrodes: Taylor’s Series and Hyperbolic Function Method
    • Authors: V. Silambuselvi, S. Rekha, R.U. Rani, K. Angaleeswari
    • Published In: International Journal of Electrochemical Science, 18(4), 100083
    • Year: 2023
    • Citations: 6

 

  • A New Method to Study the Nonlinear Reaction-Diffusion Process in the Electroactive Polymer Film Using Hyperbolic Function Method
    • Authors: S. Rekha, R.U. Rani, L. Rajendran, M.E.G. Lyons
    • Published In: International Journal of Electrochemical Science, 17, 221261
    • Year: 2022
    • Citations: 6

 

  • Diffusion Indicator for Hemispheroidal and Ring Ultramicroelectrode Geometries for E and ECʹ Reactions
    • Authors: R.U. Rani, L. Rajendran
    • Published In: Electrochemistry Communications, 128, 107071
    • Year: 2021
    • Citations: 6

 

  • Theoretical Analysis of Homogeneous Catalysis of Electrochemical Reactions: Steady-State Current–Potential
    • Authors: R.U. Rani, L. Rajendran, M. Abukhaled
    • Published In: Reaction Kinetics, Mechanisms and Catalysis, 136(3), 1229-1242
    • Year: 2023
    • Citations: 5

 

USHA RANI | MATHEMATICAL MODELING | Women Researcher Award

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