Assistant Professor
Mathematics
VIT-AP University
5
Fuzzy Mathematics; Uncertain Modeling
Differential Equations with Uncertain Parameters; Fuzzy Numerical and Semi Analytical Techniques
PhD in Mathematics from VIT-AP University, Amaravati, Andhra Pradesh
MSc in Mathematics from Andhra University, Visakhapatnam, Andhra Pradesh
BSc from Dr. B. R. Ambedkar University, Srikakulam, Andhra Pradesh
Vana, R. and Karunakar, P., 2024. Computational approach and convergence analysis for interval-based solution of the Benjamin–Bona–Mahony equation with imprecise parameters. Engineering Computations, 41(4), pp.1067-1085.
Vana, R. and Karunakar, P., 2024. Fuzzy uncertainty modeling of generalized Hirota–Satsuma coupled Korteweg–de Vries equation. Physics of Fluids, 36(9).
Vana, R. and Karunakar, P., 2024. A fuzzy semi-analytical approach for modeling uncertainties in solitary wave solution of coupled nonlinear Boussinesq equations. Physica Scripta, 99(10), p.105218.
Vana, R. and Karunakar, P., 2024. Uncertainties in regularized long-wave equation and its modified form: A triangular fuzzy-based approach. Physics of Fluids, 36(4).
Vana, R. and Karunakar, P., 2025. Numerical solutions of the Benjamin–Bona–Mahony equation using the differential quadrature method with shifted legendre and generalized Laguerre polynomials. Indian Journal of Pure and Applied Mathematics, pp.1-14.
Vana, R. and Karunakar, P., and Chakraverty, S., 2025. Semi-analytical and numerical computations for the solution of uncertain fractional Benjamin Bona Mahony equation with triangular fuzzy number. Journal of Computational Applied Mechanics, 56(1), pp.196-221.
Vana, R. and Karunakar, P., 2025. Triangular fuzzy solutions of coupled Boussinesq-Burgers Equations with uncertain parameters. Iranian Journal of Fuzzy Systems, 22(6), p.21.
Sankar, B.B.S., Karunakar, P. and Vana, R., 2026. Fuzzy modeling of uncertain time-fractional Whitham-Broer-Kaup model using a hybrid approach. Nonlinear Science, p.100111.
Vana, R., Karunakar, P. and Davala, R.K., 2026. Solitary wave solution of the KdV-BBM equation with triangular fuzzy number incorporation. Engineering Computations, 43(1), pp.101-119.
Vana, R. and Karunakar, P., 2026. Solution of coupled drinfeld–sokolov–wilson equations with imprecise parameters using semi analytical and numerical approaches. Indian Journal of Pure and Applied Mathematics, pp.1-27.
Vana, R. and Karunakar, P., 2026. Fuzzy enhanced numerical modeling of advection–diffusion equation for pollutant dispersion in water. International Journal of Numerical Methods for Heat & Fluid Flow, 36(1), pp.91-115.
