| A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition Y Zhou, L Shangerganesh, J Manimaran, A Debbouche Mathematical Methods in the Applied Sciences 41 (8), 2987-2999, 2018 | 86 | 2018 |
| Numerical solutions for time-fractional cancer invasion system with nonlocal diffusion J Manimaran, L Shangerganesh, A Debbouche, V Antonov Frontiers in Physics 7, 93, 2019 | 45 | 2019 |
| Distributed optimal control of a tumor growth treatment model with cross-diffusion effect PT Sowndarrajan, J Manimaran, A Debbouche, L Shangerganesh The European Physical Journal Plus 134 (9), 463, 2019 | 26 | 2019 |
| Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy J Manimaran, L Shangerganesh, A Debbouche Journal of Computational and Applied Mathematics 382, 113066, 2021 | 22 | 2021 |
| Weakness and mittag–leffler stability of solutions for time-fractional keller–segel models Y Zhou, J Manimaran, L Shangerganesh, A Debbouche International Journal of Nonlinear Sciences and Numerical Simulation 19 (7-8 …, 2018 | 20 | 2018 |
| A time‐fractional competition ecological model with cross‐diffusion J Manimaran, L Shangerganesh, A Debbouche Mathematical Methods in the Applied Sciences 43 (8), 5197-5211, 2020 | 15 | 2020 |
| Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation J Manimaran, L Shangerganesh International Journal of Computer Mathematics 98 (7), 1365-1384, 2021 | 7 | 2021 |
| A time-fractional HIV infection model with nonlinear diffusion J Manimaran, L Shangerganesh, A Debbouche, JC Cortés Results in Physics 25, 104293, 2021 | 7 | 2021 |
| Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey PT Sowndarrajan, N Nyamoradi, L Shangerganesh, J Manimaran Optimal Control Applications and Methods 41 (5), 1495-1509, 2020 | 7 | 2020 |
| Solvability and numerical simulations for tumor invasion model with nonlinear diffusion J Manimaran, L Shangerganesh Computational and Mathematical Methods 2 (2), e1068, 2020 | 7 | 2020 |
| Space-time adaptivity for a multi-scale cancer invasion model VS Aswin, J Manimaran, N Chamakuri Computers & Mathematics with Applications 146, 309-322, 2023 | 4 | 2023 |
| Blow-up solutions of a time-fractional diffusion equation with variable exponents J Manimaran, L Shangerganesh Tbilisi Mathematical Journal 12 (4), 149-157, 2019 | 3 | 2019 |
| Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion L Shangerganesh, J Manimaran Electronic Transactions on Numerical Analysis 52, 576-598, 2020 | 2 | 2020 |
| Analytical and numerical studies of a cancer invasion model with nonlocal diffusion J Manimaran, A Baskar, V Parthiban, L Shangerganesh Journal of Nonlinear, Complex and Data Science 25 (2), 125-145, 2024 | 1 | 2024 |
| Existence and uniqueness of time-fractional nonlocal diffusion systems modelling an epidemic disease J Manimaran, L Shangerganesh Indian Society of Industrial and Applied Mathematics 11 (2), 193-207, 2020 | 1 | 2020 |
| On the effectiveness and precision of BDF2-discontinuous Galerkin scheme for nonlinear nonlocal reaction–diffusion models J Manimaran, L Shangerganesh, S Hariharan, RM Basuodan, AS Hendy, ... Zeitschrift für angewandte Mathematik und Physik 76 (1), 26, 2025 | | 2025 |
| Solvability of an attraction-repulsion chemotaxis Navier-Stokes system with arbitrary porous medium diffusion Y Karuppusamy, S Lingeshwaran, M Jeyaraj Electronic Journal of Differential Equations 2024 (01-83), 75-28, 2024 | | 2024 |
| Convergence of BDF2-Galerkin finite element scheme for cancer invasion model S Angelin Shena, J Manimaran, K Sethukumarasamy, L Shangerganesh The European Physical Journal Special Topics, 1-8, 2024 | | 2024 |
| Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme J Manimaran, L Shangerganesh, MA Zaky, A Akgül, AS Hendy Applied Numerical Mathematics 201, 145-158, 2024 | | 2024 |
| Stability analysis and numerical simulations of the infection spread of epidemics as a reaction–diffusion model S Hariharan, L Shangerganesh, J Manimaran, AS Hendy, MA Zaky Mathematical Methods in the Applied Sciences, 2024 | | 2024 |
Shangerganesh LingeshwaranNational Institute of Technology GoaVerified email at nitgoa.ac.in