Abstract: Unlike its Ordinary Differential Equation (ODE) counterpart, fault diagnosis of Partial Differential Equations (PDE) has received limited attention in existing literature. The main ...

This study focuses on implementing a Fourier Neural Operator (FNO) to solve the one-dimensional wave equation, following the approach proposed by Li et al. [1]. The FNO architecture is designed to ...

We explore the utilization of higher-order discretization techniques in optimizing the gate count needed for quantum computer based solutions of partial differential ...

In this paper, we consider the numerical method for solving the two-dimensional fractional diffusion-wave equation with a time fractional derivative of order α (1 < α < 2). A difference scheme ...