Department of Applied Mathematics, Delhi Technological University, Delhi (May 2022 - June 2024)
Supervisor - Dr. Vivek K. Aggarwal, Professor, Department of Applied Mathematics, DTU, Delhi, IN
Predator Prey Scavenger Model using Holling's Functional Response of Type III and Physics Informed Deep Neural Networks - Worked on formulating and simulating a predator-prey-scavenger model with Holling's Type III functional response, estimating parameters using a physics-informed deep neural network from American Forest Dataset with fine-tuning the model parameters through Broyden-Fletcher-Goldfarb-Shanno algorithm and testing stability with Jacobian analysis.
Equidistributed moving Mesh Using Entropy-based Monitor function for Convection-Dominated Problems - Details will be updated soon.
Adaptive equidistributed moving meshes using Entropy-based strategy implemented using Deep Neural Networks for Convection Dominated Problems - Solved 1-dimensional linear convection-dominated singularly perturbed problems using deep neural networks to find out the adaptive equidistributed moving mesh by overcoming the problem of mesh starvation. Devised Mesh-based method that doesn't require prior knowledge of layer location in the domain but only the number of mesh points is required.
Indian Institute of Technology, Delhi (June 2023 - July 2023)
Supervisor - Prof. Mani Mehra, Professor, Department of Mathematics, IIT Delhi, IN
Optimized adaptive mesh for Singularly Perturbed Problems - Worked on 1-dimensional Singularly Perturbed Convection Diffusion Problem for finding optimal adaptive mesh for Numerical solution of Boundary Layer Problems which works on fluid dynamics. Developed an algorithm for boundary layer problem which gives Optimized non-uniform mesh minimizing the error and maintaining the smoothness of the curve answering the most critical questions about the number of points required and position of layer formation.
Computational Analytics and Learning Intelligence Based Research Exploration (CALIBRE), Delhi Technological University (Sept 2022 - Apr 2024)
Supervisor - Prof. Rahul Katarya, Professor, Department of Computer Science and Engineering, DTU, Delhi, IN
KANHA – Kinetically Adaptive Neurodevelopmental-disorder Highway Assistant - Technique that provides real-time road safety technology for neurodevelopmental patients which is a personalized assistant that suggests optimal routes for neurodevelopmental patients using their facial expressions and surrounding analysis simultaneously for the learning process.
Autism Spectrum Disorder Detection using Nature Inspired Algorithms from 3D Video Dataset - Comparison study for various nature-inspired algorithms for their feature selection ability for binary classification type problems. Got 100% accuracy with 69.81% feature reduction and 96.87% accuracy with 99.68% feature reduction.