2 citations · 2 across the 3 of their papers we have counts for
5 papers
Stochastic Galerkin Method for Fractional Boundary Value Problems: Convergence Analysis and Numerical Treatment
Abhishek Kumar Singh, Dhyan Divakar Laad, Vaibhav Mehandiratta +1
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 result…
QGPINNs: A Physics-Informed Neural Network Framework for Nonlocal Differential Equations on Quantum Graphs
Vaibhav Mehandiratta, Saket Ramchandra
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…
Linear cost and exponentially convergent approximation of Gaussian Matérn processes on intervals
David Bolin, Vaibhav Mehandiratta, Alexandre B. Simas
The computational cost for inference and prediction of statistical models based on Gaussian processes with Matérn covariance functions scales cubicly with the number of observation…
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions
Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta +1
In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed. At first, we employ…
Existence and uniqueness of time-fractional diffusion equation on a metric star graph
Vaibhav Mehandiratta, Mani Mehra, Gunter Leugering
In this paper, we study the time-fractional diffusion equation on a metric star graph. The existence and uniqueness of the weak solution are investigated and the proof is based on…