KOLLOJU PHANEENDRA

@osmania.ac.in

Associate Professor, Department of Mathematics
Osmania University, Hyderabad

EDUCATION

M.Sc. Applied Mathematics From REC Warangal
Ph.D. from From NIT Warangal

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Numerical Analysis, Computational Mathematics, Mathematics
44

Scopus Publications

419

Scholar Citations

11

Scholar h-index

12

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • A computational scheme for 1D time-dependent singularly perturbed parabolic differential-difference equations
    ES Prasad, K Phaneendra
    Computational Mathematics and Mathematical Physics 65 (2), 236-251 , 2025
    2025
    Citations: 1
  • Computational approach for a two-parameter convection- diffusion problem using an adaptive spline
    K. Satyanarayana, E. Siva Prasad, M. Chenna Krishna Reddy, K. Phaneendra∗
    Journal of the Indian Math. Soc. ISSN (Print): 0019–5839. 92 (1), 98-109 , 2025
    2025
  • A novel numerical scheme for a class of singularly perturbed differential-difference equations with a fixed large delay
    E Srinivas, K Phaneendra
    Bulletin of the Karaganda University. Mathematics Series 113 (1), 194-207 , 2024
    2024
    Citations: 2
  • Computation Method for a Differential-Difference Equation with Boundary Layer in Neuronal Variability Modelling using a Mixed Nonpolynomial Spline
    KP K. Mamatha, BSL Soujanya G
    Tuijin Jishu/Journal of Propulsion Technology, Vol. 45 45 (4), 29-39 , 2024
    2024
  • Numerical solution of differential–difference equations having an interior layer using nonstandard finite differences
    R Omkar, M Lalu, K Phaneendra
    Bulletin of the Karaganda university. Mathematics series 110 (2), 104-115 , 2023
    2023
    Citations: 3
  • A Trigonometric Spline Method for a Singularly Perturbed Parabolic Time-Dependent Partial Differential-Difference Equations Arising in Computational Neuroscience
    M Lalu, K Phaneendra
    2023
  • Trigonometric spline method for boundary layer differential difference equations with mixed shifts
    K Phaneendra, SP Emineni
    1ST INTERNATIONAL CONFERENCE ON ESSENCE OF MATHEMATICS AND ENGINEERING … , 2023
    2023
  • Security analysis of Three-Factor Authentication Protocol Based on Extended Chaotic-Maps
    S Devanapalli, K Phaneendra
    2022 OPJU International Technology Conference on Emerging Technologies for … , 2023
    2023
  • CRYPTANALYSIS ON “PRACTICAL AND PROVABLY SECURE THREE-FACTOR AUTHENTICATION PROTOCOL BASED ON EXTENDED CHAOTIC-MAPS FOR MOBILE LIGHTWEIGHT DEVICES”
    S Devanapalli, K Phaneendra
    International Journal of Advances in Soft Computing and Intelligent Systems … , 2023
    2023
    Citations: 1
  • Numerical Simulation for a Differential Difference Equation With an Interior Layer
    P Amala, M Lalu, K Phaneendra
    Communications in Mathematics and Applications 14 (1), 187 , 2023
    2023
  • Cryptanalysis on “An Improved RFID-based Authentication Protocol for Rail Transit”
    S Devanapalli, K Phaneendra
    International Conference on Innovations in Intelligent Computing and … , 2022
    2022
  • Numerical simulation of singularly perturbed delay differential equations with large delay using an exponential spline
    R Omkar, K Phaneendra
    International Journal of Analysis and Applications 20, 63-63 , 2022
    2022
    Citations: 1
  • Provably secure pseudo-identity three-factor authentication protocol based on extended chaotic-maps for lightweight mobile devices
    D Suresh, V Odelu, AG Reddy, K Phaneendra, HS Kim
    IEEE Access 10, 109526-109536 , 2022
    2022
    Citations: 6
  • A numerical approach for singular perturbation problems with an interior layer using an adaptive spline
    E Srinivas, M Lalu, K Phaneendra
    Iranian Journal of Numerical Analysis and Optimization 12 (2), 355-370 , 2022
    2022
    Citations: 3
  • Research Article Fitted Parameter Exponential Spline Method for Singularly Perturbed Delay Differential Equations with a Large Delay
    ES Prasad, R Omkar, K Phaneendra
    2022
  • Fitted parameter exponential spline method for singularly perturbed delay differential equations with a large delay
    ES Prasad, R Omkar, K Phaneendra
    Computational and Mathematical Methods 2022 (1), 9291834 , 2022
    2022
    Citations: 6
  • A numerical approach for singularly perturbed nonlinear delay differential equations using a trigonometric spline
    M Lalu, K Phaneendra
    Computational and Mathematical Methods 2022 (1), 8338661 , 2022
    2022
    Citations: 3
  • Solution of Singularly Perturbed Boundary Value Problems with Singularity Using Variable Mesh Finite Difference Method
    E Siva Prasad, K Phaneendra
    Journal of Dynamical Systems and Geometric Theories 19 (1), 113-124 , 2021
    2021
  • Quadrature method with exponential fitting for delay differential equations having layer behavior
    M Lalu, K Phaneendra
    J. Math. Comput. Sci 25, 191-208 , 2021
    2021
    Citations: 3
  • Numerical approach for differential-difference equations having layer behaviour with small or large delay using non-polynomial spline
    ESP M Lalu, K. Phaneendra
    Soft Computing 25, 13709–13722 , 2021
    2021
    Citations: 8

MOST CITED SCHOLAR PUBLICATIONS

  • Provably secure pseudo-identity based device authentication for smart cities environment
    AG Reddy, D Suresh, K Phaneendra, JS Shin, V Odelu
    Sustainable cities and society 41, 878-885 , 2018
    2018
    Citations: 44
  • Mixed finite difference method for singularly perturbed differential difference equations with mixed shifts via domain decomposition
    L Sirisha, K Phaneendra, YN Reddy
    Ain Shams Engineering Journal 9 (4), 647-654 , 2018
    2018
    Citations: 37
  • Numerical Integration Method for Singularly Perturbed Delay Differential Equations
    GS 18. K. Phaneendra, Y.N. Reddy
    International Journal of Applied Science and Engineering 10 (3), 249-261 , 2012
    2012
    Citations: 36
  • Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour
    DK Swamy, K Phaneendra, AB Babu, YN Reddy
    Ain Shams Engineering Journal 6 (1), 391-398 , 2015
    2015
    Citations: 32
  • Accurate numerical method for singularly perturbed differential difference equations with mixed shifts
    DK Swamy, K Phaneendra, YN Reddy
    Khayyam J. Math 4 (2), 110-122 , 2018
    2018
    Citations: 27
  • A seventh order numerical method for singular perturbation problems
    PP Chakravarthy, K Phaneendra, YN Reddy
    Applied Mathematics and Computation 186 (1), 860-871 , 2007
    2007
    Citations: 21
  • Solution of Singularly Perturbed Differential‐Difference Equations with Mixed Shifts Using Galerkin Method with Exponential Fitting
    D Kumara Swamy, K Phaneendra, YN Reddy
    Chinese Journal of Mathematics 2016 (1), 1935853 , 2016
    2016
    Citations: 16
  • AFitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers
    K Phaneendra, P Pramod Chakravarthy, YN Reddy
    Applied Mathematics and Information Sciences , 2010
    2010
    Citations: 15
  • Numerical solution of singularly perturbed delay differential equations using gaussion quadrature method
    K Phaneendra, M Lalu
    Journal of Physics: Conference Series 1344 (1), 012013 , 2019
    2019
    Citations: 13
  • 20. Numerical Solution of Second Order Singularly Perturbed Differential– Difference Equations with Negative Shift
    YNR K. Phaneendra∗ , GBSL Soujanya
    International Journal of Nonlinear Science 18 (3), 200-209 , 2014
    2014
    Citations: 13
  • A fitted nonstandard finite difference method for singularly perturbed differential difference equations with mixed shifts
    DK Swamy, K Phaneendra, YN Reddy
    J. de Afrikana 3 (4), 1-20 , 2016
    2016
    Citations: 12
  • Gaussian quadrature for two-point singularly perturbed boundary value problems with exponential fitting
    K Phaneendra, M Lalu
    Communications in Mathematics and Applications, 447 , 2019
    2019
    Citations: 10
  • Non-Iterative Numerical Integration method for Singular Perturbation Problems exhibiting Internal and Twin Layers
    K Phaneendra, YN Reddy, G Soujanya
    International Journal of Applied Mathematics and Computation 3 (1), 9-20 , 2011
    2011
    Citations: 9
  • Numerical approach for differential-difference equations having layer behaviour with small or large delay using non-polynomial spline
    ESP M Lalu, K. Phaneendra
    Soft Computing 25, 13709–13722 , 2021
    2021
    Citations: 8
  • Numerical treatment of singular perturbation problems exhibiting dual boundary layers
    K Phaneendra, S Rakmaiah, MCK Reddy
    Ain Shams Engineering Journal 6 (3), 1121-1127 , 2015
    2015
    Citations: 8
  • Numerical Integration Method for Singularly Perturbed Delay Differential Equations
    K Phaneendra, G Soujanya, V Reddy
    Applied and Computational Mathematics , 2013
    2013
    Citations: 8
  • Numerical Integration of Singularly Perturbed Differential-Difference Problem Using Non Polynomial Interpolating Function.
    M Adilaxmi, D Bhargavi, K Phaneendra
    Journal of Informatics & Mathematical Sciences 11 (2) , 2019
    2019
    Citations: 7
  • Asymptotic - Numerical method for Third-Order Singular Perturbation Problems
    GS K. Phaneendra, Y.N. Reddy
    International Journal of Applied Science and Engineering 10 (3), 241-248 , 2012
    2012
    Citations: 7
  • Provably secure pseudo-identity three-factor authentication protocol based on extended chaotic-maps for lightweight mobile devices
    D Suresh, V Odelu, AG Reddy, K Phaneendra, HS Kim
    IEEE Access 10, 109526-109536 , 2022
    2022
    Citations: 6
  • Fitted parameter exponential spline method for singularly perturbed delay differential equations with a large delay
    ES Prasad, R Omkar, K Phaneendra
    Computational and Mathematical Methods 2022 (1), 9291834 , 2022
    2022
    Citations: 6