Simulation on Matlab of 1D and 2D heat flow using numerical methods and testing the stabilities and different errors of such solutions. Numerical methods used include Fourier expansion and finite ...

We analyze finite difference methods for the Gross-Pitaevskii equation with an angular momentum rotation term in two and three dimensions and obtain the optimal convergence rate, for the conservative ...

This repository contains the implementation of a Physics-Informed Neural Network (PINN)-Enhanced Finite Difference Method (FDM) for modeling energy balance in hydraulic fracture propagation. The ...

This is a preview. Log in through your library . Abstract A correction for truncation errors associated with implicit finite difference method (FDM) of the groundwater transport equation with reaction ...

ABSTRACT: This paper investigates an improved SIR model for COVID-19 based on the Caputo fractional derivative. Firstly, the properties of the model are studied, including the feasible domain and ...

Abstract: The central finite difference is used very often to approximate first-order differential equations, and it results in a second-order truncation error for a ...

Abstract: The electric field distribution of vacuum interrupter has been calculated using multiple grid algorithm. The thorny problem encountered in finite difference method (FDM) has been well ...