Galerkin finite element method for cancer invasion mathematical model. - Sashikumaar Ganesan; Shangerganesh Lingeshwaran (Comput. Math. Appl., 2017)

A biophysical model of tumor invasion. - Sashikumaar Ganesan; Shangerganesh Lingeshwaran (Commun. Nonlinear Sci. Numer. Simul., 2017)

Renormalized and Entropy solutions of tumor growth Model with nonlinear acid production. - Shangerganesh Lingeshwaran; Deiva Mani Nallasamy; Shanmugasundaram Karthikeyan (Math. Model. Anal., 2017)

On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents. - Shangerganesh Lingeshwaran; Nemat Nyamoradi; V. N. Deiva Mani; Shanmugasundaram Karthikeyan (Comput. Math. Appl., 2018)

Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects. - Shangerganesh Lingeshwaran; Nemat Nyamoradi; G. Sathishkumar; Shanmugasundaram Karthikeyan (Comput. Math. Appl., 2019)

Solvability and numerical simulations for tumor invasion model with nonlinear diffusion. - Jeyaraj Manimaran; Shangerganesh Lingeshwaran (Comput. Math. Methods, 2020)

An Optimal Control Problem of Nonlocal Pyragas Feedback Controllers for Convective FitzHugh-Nagumo Equations with Time-Delay. - Shangerganesh Lingeshwaran; P. T. Sowndarrajan (SIAM J. Control. Optim., 2020)

Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation. - Jeyaraj Manimaran; Shangerganesh Lingeshwaran (Int. J. Comput. Math., 2021)

Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. - Jeyaraj Manimaran; Shangerganesh Lingeshwaran; Amar Debbouche (J. Comput. Appl. Math., 2021)

Dynamical analysis of a spatio-temporal model encompassing the avian flu transmission in human population. - S. Hariharan; Shangerganesh Lingeshwaran; Sunil Kumar (J. Appl. Math. Comput., 2024)

Solutions of the attraction-repulsion-chemotaxis system with nonlinear diffusion. - Yadhavan Karuppusamy; Shangerganesh Lingeshwaran (Math. Model. Anal., 2025)

Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments. - S. Hariharan; Shangerganesh Lingeshwaran; Amar Debbouche; V. Antonov (J. Appl. Math. Comput., 2025)