Author

Vaibhav Mehandiratta

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Preprint Sep 2026

Stochastic Galerkin Method for Fractional Boundary Value Problems: Convergence Analysis and Numerical Treatment

We study two-point fractional boundary value problems with uncertain input data, where randomness may enter through the coefficients and boundary conditions. To quantify the resulting uncertainty in the solution, we employ the generalized polynomial chaos (gPC) framework and develop a stochastic Galerkin formulation of...

Abhishek Kumar Singh, Dhyan Divakar Laad, Vaibhav Mehandiratta et al. · 0 citations

#machine learning Preprint Aug 2026

QGPINNs: A Physics-Informed Neural Network Framework for Nonlocal Differential Equations on Quantum Graphs

We propose QGPINNs, a physics-informed neural network framework developed in PyTorch for the numerical solution of nonlocal differential equations on quantum graphs. The framework is designed as a general computational implementation in which the solution on each edge of the graph is approximated by a neural network, w...

Vaibhav Mehandiratta, Saket Ramchandra · 0 citations