PUBLICATIONS (Journal Articles):

1. Aayushman Raina, S. Natesan, A Physics‐Informed Neural Network Framework for Tumor‐Immune Interactions, Metastatic Invasion, and Haptotaxis Systems , Mathematical Methods in the Applied Sciences, 2025. (John Wiley and Sons Inc, SCIE, IF: 1.8)

DOI: doi.org/10.1002/mma.70355 

2. Aayushman Raina, S. Natesan, A weak Galerkin finite element method for singularly perturbed 2D elliptic boundary-value problems of reaction-diffusion type with exponentially graded mesh , International Journal of Computer Mathematics, 2025. (Taylor and Francis Ltd, SCIE, IF: 1.3)

DOI: doi.org/10.1080/00207160.2025.2556462 

3. Pradanya Boro, Aayushman Raina, S. Natesan, A Parameter-Driven Physics-Informed Neural Network Framework for Solving Two-Parameter Singular Perturbation Problems Involving Boundary Layers, Advances in Computational Science and Engineering, 5 (2025): pp. 72-102.

DOI: doi.org/10.3934/acse.2025019 

4. Aayushman Raina, Satyadev Badireddi, S. Natesan, Application of PINN to Obtain Solution of Boundary Layer Problems Arising in Fluid Dynamics, Mathematical Foundations of Computing, 10 (2026): pp. 89-108. (AIMS, SCIE, IF: 0.8)

DOI: www.aimsciences.org/article/doi/10.3934/mfc.2025024 

5. Aayushman Raina, S. Natesan, S. Toprakseven, An Efficient Operator Splitting Weak Galerkin Method for Singularly Perturbed 2D Parabolic PDEs , Numerical Algorithms, 2025. (Springer, SCIE, IF: 2.0) 

DOI: doi.org/10.1007/s11075-025-02152-3 

6. Aayushman Raina, S. Natesan, A Weak Galerkin Finite Element method for Fourth order Parabolic Singularly Perturbed Problems on layer adapted Shishkin mesh, Applied Numerical Mathematics, 207 (2025), pp.~520--533. (Elsevier, SCIE, IF: 2.2)

DOI: https://doi.org/10.1016/j.apnum.2024.09.019 

7. Aayushman Raina, S. Natesan, Suayip Toprakseven, Anisotropic Error Analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic Problems, Mathematics and Computers in Simulation, 229 (2025), pp.~203--221. (Elsevier, SCIE, IF: 4.4)

DOI: doi.org/10.1016/j.matcom.2024.09.017 

8. Aayushman Raina, S. Natesan, Suayip Toprakseven, A Novel ADI-Weak Galerkin Method for Singularly Perturbed Two-Parameter 2D Parabolic PDEs, Numerical Methods for Partial Differential Equations, 41 (2025), p.~e23169. (John Wiley and Sons Inc, SCIE, IF: 2.1)

DOI: doi.org/10.1002/num.23169