Profile Summary
Dr. Dany Joy holds an M.Sc. in Mathematics and has qualified both CSIR-NET and GATE. He has four years of teaching experience. His specialisations are Numerical Analysis, Singular Perturbation Problems, and Delay Differential Equations: a field with significant applications in biological modelling, control systems, and engineering. He has published research papers in journals including Computational and Applied Mathematics, Mathematical Methods in the Applied Sciences, Scientific Reports, and Boundary Value Problems. He has presented at the 14th AIMS International Conference in Abu Dhabi and participated in the ICMS and MAC-MIGS Modelling Camp at the University of Edinburgh, and is a recipient of the Anusandhan National Research Foundation Travel Grant.
Experience
Four years of teaching experience
Specialization
Numerical analysis, singular perturbation problems, and delay differential equations
Qualifications
M.Sc. Mathematics, CSIR-NET, GATE
Research & Publications
- Joy D. & Kumar S. D., Numerical Method for Solving Weakly Coupled Systems of Singularly Perturbed Delay Differential Equations – Computational and Applied Mathematics
- Joy D. & Kumar S. D., Liouville–Green Transformation Technique to Solve Singularly Perturbed Delay Differential Equations of Reaction Diffusion Type – Mathematical Methods in the Applied Sciences
- Joy D. & Kumar S. D., Non-Polynomial Spline Approach for Solving System of Singularly Perturbed Delay Differential Equations of Large Delay – Mathematical and Computer Modelling of Dynamical Systems
- Joy D. & Kumar S. D., Computational Techniques for Singularly Perturbed Reaction-Diffusion Delay Differential Equations: A Second-Order Approach – Journal of Mathematics and Computer Science
- Joy D., Kumar S. D. & F. A. Rihan, Advancing Numerical Solutions for a System of Singularly Perturbed Delay Differential Equations at Linear Rate – Boundary Value Problems
- Joy D. & Kumar S. D., Singular Perturbations and Small Delays through Liouville's Green Transformation – Journal of Applied Mathematics and Informatics
- Joy D., Kumar S. D. & F. A. Rihan, Numerical Solution of a Second-Order Singularly Perturbed Differential Equations with Mixed Shift Arguments – Scientific Reports
- Joy D. & Regal A. M., Tension Spline Approach to Singularly Perturbed Delay Differential Equations Involving Large Delay – Gulf Journal of Mathematics
International / National / State-Level Seminars, Workshops & Paper Presentations
- Presented a paper titled Advancements in Numerical Solutions for Delayed Singular Perturbation Problems at the International Conference on Mathematical Modelling, Simulation and Non-linear Dynamics (ICMMSND 2024).
- Presented a paper titled A Novel Method for Singularly Perturbed Reaction Diffusion Problems via Finite Difference Scheme at the International Conference on Recent Trends in Applied Mathematics (ICRTAM 2023).
- Presented a paper titled Numerical Method for Solving Singularly Perturbed Delay Differential Equations of Large Delay at the 14th AIMS International Conference, Abu Dhabi.
- Participated in the ICMS and MAC-MIGS Modelling Camp, International Centre for Mathematical Sciences, University of Edinburgh, Scotland.
- Participated in the workshop Recent Development in Numerical Methods for Partial Differential Equations, NIT Hamirpur.
Awards & Recognitions
- Qualified CSIR-NET in Mathematics.
- Qualified GATE (Mathematics).
- Recipient of the Anusandhan National Research Foundation Travel Grant.