Faculty & Staff
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Dr. Archana D. K.
Assistant Professor
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School/College
Faculty of Natural Sciences
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Department
Department of Mathematics and Statistics
Dr. Archana D. K. is an Assistant Professor in the Department of Mathematics and Statistics, Faculty of Natural Science. She earned her M.Sc. in Mathematics from Davangere University in 2021, and her Ph.D. in Mathematics, specializing in Fractional Calculus and Fractional Differential Equations, from Davangere University in 2026. Her research interests encompass fractional calculus, mathematical modeling, analytical and numerical methods, epidemiological and biological modeling, and the stability and sensitivity analysis of mathematical models. She has published several high-quality research papers in internationally reputed, peer-reviewed journals, contributing significantly to the advancement of computational and applied mathematics. She was awarded the University Sixth Rank in B.Sc. (2019) and secured the University First Rank in M.Sc. Mathematics (2021), received three Gold Medals from Davangere University for her outstanding academic excellence. Her research is dedicated to developing innovative mathematical models and efficient computational techniques to address complex scientific, engineering, and real-world interdisciplinary problems.
Qualifications
- B.Sc. - (Physics, Mathematics & Electronics)
Government Science College, Chitradurga, Karnataka, 2019
- M.Sc. - (Mathematics)
Davangere University, Shivagangothri, Davangere-577007, INDIA, 2021
- Ph.D. - (Mathematics – Fractional Calculus & Fractional Differential Equations)
Davangere University, Shivagangothri, Davangere-577007, INDIA, 2026
- Fractional Calculus & Fractional Differential Equations
- Mathematical Modeling
- Analytical & Numerical Methods
- Epidemiological and Biological Modeling
- Stability and Sensitivity Analysis of Mathematical Models
- Project on RADAR using ultrasonic sensors in State level Science Exhibition competition - 2019.
- Davangere University Sixth Rank holder in B.Sc., Physics, Mathematics, Electronics (P.M.E) in 2019.
- Davangere University First Rank holder and Gold Medalist (3 Gold Medals) in M.Sc., Mathematics in 2021.
International Journal Papers
- Archana, D.K., Prakasha, D.G., Veeresha, P. and Nisar, K.S., 2024. An efficient technique for one-dimensional fractional diffusion equation model for cancer tumor. CMES–Computer Modeling in Engineering & Sciences, 141(2), p.1347.
- Archana, D.K., Prakasha, D.G. and Bin Turki, N., 2024. Modelling yeast prion dynamics: A fractional order approach with predictor–corrector algorithm. Fractal and Fractional, 8(9), p.542.
- Iqbal, N., Archana, D.K., Prakasha, D.G., Khan, M.A., Haseeb, A. and Al-Dayel, I., 2025. Fractional-order computational modeling of pediculosis disease dynamics with predictor–corrector approach. Scientific Reports, 15(1), p.11559.
- Naveen, K., Mukhtar, S., Mahnashi, A.M., Shah, R., Prakasha, D.G. and Archana, D.K., 2025. A robust technique to study fractional model describing economic and environmental mathematical system. Engineering Computations, 42(3), pp.1205–1224.
- Archana, D.K. and Prakasha, D.G., 2025. Numerical simulation of time fractional nonlinear heat transfer equation with predictor–corrector approach. Heat Transfer, 54(7), pp.4618–4625.
- Iqbal, N., Archana, D.K., Khan, M.N. and Prakasha, D.G., 2025. A qualitative study on the stability and existence of solutions in a fractional-order water pollution model via the predictor–corrector approach. Scientific Reports, 15(1), p.35747.
- Alwan, F.M., Archana, D.K., Prakasha, D.G. and Ali, A.H., 2025. Computational optimization of fractional-order influenza SIR epidemic modeling using two effective techniques. Communications in Mathematical Biology and Neuroscience, 2025, Article 101.
- Iqbal, N., Archana, D.K., Darshan Kumar, C.V., Devaraja, M.N., Prakasha, D.G. and Sarwe, D.U., 2026. A fractional approach to cooling dynamics with variable heat transfer coefficient using two efficient numerical techniques. International Journal of Numerical Methods for Heat and Fluid Flow.
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