Dr. R. USHA RANI

@mce.edu.in

Assistant Professor and Mathematics
Meenakshi College of Engineering

Dr. R. USHA RANI


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https://researchid.co/ushamaths

EDUCATION

M.Sc., M.Phil., B. Ed., Ph.D.,

RESEARCH INTERESTS

Mathematical Modeling (Nonlinear Differential Equations)
19

Scopus Publications

260

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Theoretical Analysis of Nonlinear Process in Amperometric Biosensor Using Akbari–Ganji and Hyperbolic Function Method
    SD Rajachelin, RU Rani, L Rajendran
    Chemistry Africa 8 (7), 3213-3227 , 2025
    2025
    Citations: 1
  • Unraveling nonlinear, transient nth-order reaction–diffusion processes within porous catalysts of arbitrary shapes: Analytical and numerical perspective
    RU Rani, L Rajendran
    Chemical Engineering Science, 122431 , 2025
    2025
    Citations: 1
  • Understanding the nonlinear reactive transport model in porous catalysts
    D Sujatha, RU Rani, G Vennila, A Marimuthu, M Renugadevi, ...
    International Journal of Electrochemical Science 19 (12), 100852 , 2024
    2024
    Citations: 5
  • Analytical and numerical solutions of nonlinear heat diffusion model for the thermal energy storage problem
    V Silambuselvi, K Angaleeswari, S Rekha, L Rajendran, RU Rani
    AIP Conference Proceedings 3160 (1), 020001 , 2024
    2024
    Citations: 1
  • Theoretical analysis of the enzyme reaction processes within the multiscale porous biocatalytic electrodes: Akbari–Ganji's and Taylor’s series method
    S Krishnakumar, RU Rani, KL Narayanan, L Rajendran
    International Journal of Electrochemical Science 19 (4), 100527 , 2024
    2024
    Citations: 3
  • A theoretical and computational analysis of the concentration of substrate and product in enzyme-based electrochemical biosensors: Akbari-Ganji’s method
    RU Rani, N Jha, L Rajendran
    Journal of Electroanalytical Chemistry 956, 118077 , 2024
    2024
    Citations: 4
  • Theoretical analysis of homogeneous catalysis of electrochemical reactions: steady-state current–potential
    RU Rani, L Rajendran, M Abukhaled
    Reaction Kinetics, Mechanisms and Catalysis 136 (3), 1229-1242 , 2023
    2023
    Citations: 12
  • Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method
    V Silambuselvi, S Rekha, RU Rani, K Angaleeswari
    International Journal of Electrochemical Science 18 (4), 100083 , 2023
    2023
    Citations: 10
  • A New Method to Study the Nonlinear Reaction-Diffusion Process in the Electroactive Polymer Film using Hyperbolic Function Method
    * Sekar Rekha1 , Ramu Usha Rani2 , Lakshmanan Rajendran1,*, Michael E.G. Lyons3
    International Journal of ELECTROCHEMICAL SCIENCE 17, 221261 , 2022
    2022
    Citations: 10
  • Analytical expressions for steady-state current and estimation of kinetic parameters in an amperometric biosensor with the product inhibition: Power series method
    J Saranya, RU Rani, MEG Lyons, M Abukhaled, L Rajendran
    AIP Conference Proceedings 2516 (1), 250017 , 2022
    2022
    Citations: 1
  • Mathematical modelling of Amperometric Glucose biosensor based on immobilized Enzymes: New approach of Taylors series method
    KL Narayanan, J Kavitha, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (10), 221064 , 2022
    2022
    Citations: 17
  • 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
    KL Narayanan, R Shanthi, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (6), 220623 , 2022
    2022
    Citations: 14
  • Transport and Kinetics in Biofiltration Membranes: New Analytical Expressions for Concentration Profiles of Hydrophilic and Hydrophobic VOCs Using Taylor’s Series and Akbari …
    SAS Sivasundari, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (4), 220447 , 2022
    2022
    Citations: 20
  • Approximations for the Concentration and Effectiveness Factor in Porous Catalysts of Arbitrary Shape: Taylor Series and Akbari-Ganji’s Methods
    MA Ramu Usha Rani 1 , Lakshmanan Rajendran 1*
    Mathematical Modelling of Engineering Problems 8 (4), 527-537 , 2021
    2021
    Citations: 8
  • Diffusion indicator for hemispheroidal and ring ultramicroelectrode geometries for E and ECʹ reactions
    RU Rani, L Rajendran
    Electrochemistry Communications 128, 107071 , 2021
    2021
    Citations: 8
  • Steady-state current in product inhibition kinetics in an amperometric biosensor: Adomian decomposition and Taylor series method
    RU Rani, L Rajendran, MEG Lyons
    Journal of Electroanalytical Chemistry 886, 115103 , 2021
    2021
    Citations: 45
  • Taylor’s Series Solution of a Singular BVP of Reaction cum Diffusion in a Biocatalyst
    LR • R. Usha Rani
    Emerging Technologies and Innovative Research in Science, Engineering and … , 2021
    2021
  • Nonlinear mass transfer at the electrodes with reversible homogeneous; reactions: taylor'sseries and hyperbolic function method
    LC Mary, RU Rani, A Meena, L Rajendran
    International Journal of Electrochemical Science 16 (1), 151037 , 2021
    2021
    Citations: 26
  • Approximate analytical solution of nonlinear equations in cubic auto-catalytic reaction-diffusion process
    RU Rani, L Rajendran
    AIP Conference Proceedings 2277 (1), 130006 , 2020
    2020
    Citations: 4
  • Taylor’s series method for solving the nonlinear reaction-diffusion equation in the electroactive polymer film
    RU Rani, L Rajendran
    Chemical Physics Letters 754, 137573 , 2020
    2020
    Citations: 70

MOST CITED SCHOLAR PUBLICATIONS

  • Taylor’s series method for solving the nonlinear reaction-diffusion equation in the electroactive polymer film
    RU Rani, L Rajendran
    Chemical Physics Letters 754, 137573 , 2020
    2020
    Citations: 70
  • Steady-state current in product inhibition kinetics in an amperometric biosensor: Adomian decomposition and Taylor series method
    RU Rani, L Rajendran, MEG Lyons
    Journal of Electroanalytical Chemistry 886, 115103 , 2021
    2021
    Citations: 45
  • Nonlinear mass transfer at the electrodes with reversible homogeneous; reactions: taylor'sseries and hyperbolic function method
    LC Mary, RU Rani, A Meena, L Rajendran
    International Journal of Electrochemical Science 16 (1), 151037 , 2021
    2021
    Citations: 26
  • Transport and Kinetics in Biofiltration Membranes: New Analytical Expressions for Concentration Profiles of Hydrophilic and Hydrophobic VOCs Using Taylor’s Series and Akbari …
    SAS Sivasundari, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (4), 220447 , 2022
    2022
    Citations: 20
  • Mathematical modelling of Amperometric Glucose biosensor based on immobilized Enzymes: New approach of Taylors series method
    KL Narayanan, J Kavitha, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (10), 221064 , 2022
    2022
    Citations: 17
  • 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
    KL Narayanan, R Shanthi, RU Rani, MEG Lyons, L Rajendran
    International Journal of Electrochemical Science 17 (6), 220623 , 2022
    2022
    Citations: 14
  • Theoretical analysis of homogeneous catalysis of electrochemical reactions: steady-state current–potential
    RU Rani, L Rajendran, M Abukhaled
    Reaction Kinetics, Mechanisms and Catalysis 136 (3), 1229-1242 , 2023
    2023
    Citations: 12
  • Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method
    V Silambuselvi, S Rekha, RU Rani, K Angaleeswari
    International Journal of Electrochemical Science 18 (4), 100083 , 2023
    2023
    Citations: 10
  • A New Method to Study the Nonlinear Reaction-Diffusion Process in the Electroactive Polymer Film using Hyperbolic Function Method
    * Sekar Rekha1 , Ramu Usha Rani2 , Lakshmanan Rajendran1,*, Michael E.G. Lyons3
    International Journal of ELECTROCHEMICAL SCIENCE 17, 221261 , 2022
    2022
    Citations: 10
  • Approximations for the Concentration and Effectiveness Factor in Porous Catalysts of Arbitrary Shape: Taylor Series and Akbari-Ganji’s Methods
    MA Ramu Usha Rani 1 , Lakshmanan Rajendran 1*
    Mathematical Modelling of Engineering Problems 8 (4), 527-537 , 2021
    2021
    Citations: 8
  • Diffusion indicator for hemispheroidal and ring ultramicroelectrode geometries for E and ECʹ reactions
    RU Rani, L Rajendran
    Electrochemistry Communications 128, 107071 , 2021
    2021
    Citations: 8
  • Understanding the nonlinear reactive transport model in porous catalysts
    D Sujatha, RU Rani, G Vennila, A Marimuthu, M Renugadevi, ...
    International Journal of Electrochemical Science 19 (12), 100852 , 2024
    2024
    Citations: 5
  • A theoretical and computational analysis of the concentration of substrate and product in enzyme-based electrochemical biosensors: Akbari-Ganji’s method
    RU Rani, N Jha, L Rajendran
    Journal of Electroanalytical Chemistry 956, 118077 , 2024
    2024
    Citations: 4
  • Approximate analytical solution of nonlinear equations in cubic auto-catalytic reaction-diffusion process
    RU Rani, L Rajendran
    AIP Conference Proceedings 2277 (1), 130006 , 2020
    2020
    Citations: 4
  • Theoretical analysis of the enzyme reaction processes within the multiscale porous biocatalytic electrodes: Akbari–Ganji's and Taylor’s series method
    S Krishnakumar, RU Rani, KL Narayanan, L Rajendran
    International Journal of Electrochemical Science 19 (4), 100527 , 2024
    2024
    Citations: 3
  • Theoretical Analysis of Nonlinear Process in Amperometric Biosensor Using Akbari–Ganji and Hyperbolic Function Method
    SD Rajachelin, RU Rani, L Rajendran
    Chemistry Africa 8 (7), 3213-3227 , 2025
    2025
    Citations: 1
  • Unraveling nonlinear, transient nth-order reaction–diffusion processes within porous catalysts of arbitrary shapes: Analytical and numerical perspective
    RU Rani, L Rajendran
    Chemical Engineering Science, 122431 , 2025
    2025
    Citations: 1
  • Analytical and numerical solutions of nonlinear heat diffusion model for the thermal energy storage problem
    V Silambuselvi, K Angaleeswari, S Rekha, L Rajendran, RU Rani
    AIP Conference Proceedings 3160 (1), 020001 , 2024
    2024
    Citations: 1
  • Analytical expressions for steady-state current and estimation of kinetic parameters in an amperometric biosensor with the product inhibition: Power series method
    J Saranya, RU Rani, MEG Lyons, M Abukhaled, L Rajendran
    AIP Conference Proceedings 2516 (1), 250017 , 2022
    2022
    Citations: 1
  • Taylor’s Series Solution of a Singular BVP of Reaction cum Diffusion in a Biocatalyst
    LR • R. Usha Rani
    Emerging Technologies and Innovative Research in Science, Engineering and … , 2021
    2021