Research Excellence Award
Darshan Kumar C. V.
Department of Mathematics, Davangere University
Darshan Kumar C. V. is a Research Scholar in the Department of Mathematics at Davangere University, India. His research focuses on fractional calculus, fractional differential equations, mathematical modelling, numerical and analytical methods, numerical simulations, and ordinary differential equations. His published work demonstrates continuing contributions to computational mathematics and applied mathematical modelling.[1]
Abstract
This article summarizes the academic profile of Darshan Kumar C. V. in recognition of research contributions in applied mathematics. His scholarly activities emphasize fractional differential equations, numerical computation, and mathematical modelling with applications to physical and engineering systems.[1]
Keywords
Fractional Calculus; Fractional Differential Equations; Mathematical Modelling; Numerical Methods; Numerical Simulation; Ordinary Differential Equations.
Introduction
Modern mathematical research increasingly relies on computational techniques capable of solving complex nonlinear systems. Darshan Kumar C. V. has contributed to this field through studies involving fractional-order mathematical models and computational algorithms for scientific applications.[2]
Research Profile
- Research Scholar, Department of Mathematics, Davangere University.
- Research interests include fractional calculus, mathematical modelling and numerical analysis.
- ORCID: 0009-0004-0954-9398.
Research Contributions
His publications investigate computational approaches including homotopy techniques, wavelet collocation methods, and numerical simulation strategies for solving fractional differential equations arising in engineering and physical sciences.[2]
Publications
- A comprehensive study on dynamical analysis and numerical simulation of foam drainage equation using time-fractional derivative.
- Exploring the dynamics of fractional-order nonlinear dispersive wave system through homotopy technique.
- A numerical study on the dynamics of SIR epidemic model through Genocchi wavelet collocation method.
- A homotopy-based computational scheme for two-dimensional fractional cable equation.
Research Impact
The published studies contribute to the advancement of numerical techniques for fractional-order systems, with applications extending to mathematical physics, epidemiology, and computational engineering. The research demonstrates interdisciplinary relevance while supporting continued development within applied mathematics.[2]
Award Suitability
Based on the documented research profile, peer-reviewed publications, and specialization in computational mathematics, Darshan Kumar C. V. demonstrates qualifications consistent with consideration for the Research Excellence Award. His research activity reflects sustained scholarly development in mathematical sciences supported by internationally indexed publications.[1]
Conclusion
Darshan Kumar C. V. has established an emerging research profile centered on fractional calculus, numerical analysis, and mathematical modelling. Continued scholarly activity and publication are expected to further strengthen his contributions to applied mathematics.
External Links
References
- ORCID. (2026). Darshan Kumar C. V. (0009-0004-0954-9398).
https://orcid.org/0009-0004-0954-9398
- Research publications indexed through Crossref and journal publishers including Franklin Open, Scientific Reports, Open Physics, and Modern Physics Letters B.
DOI:
https://doi.org/10.1016/j.fraope.2025.100456