Malayer University

Integrated assessment of heavy metal contamination and ecological and human health risks in agricultural soils, groundwater and surface water of an industrialized arid region (Arak Plain, Iran)

Study region Arak Plain, central Iran. Study focus This study evaluated the concentrations and associated ecological and human health risks of Cd, Cu, Zn, Pb, Ni, Cr, and Hg in agricultural soils, groundwater, and surface water of an industrialized wheat-growing plain. Soil conta...

A hybrid radial basis function–finite difference method for solving two-dimensional coupled nonlinear stochastic fractional sine–Gordon equations arising in telecommunications network

In this paper, an efficient numerical technique based on the finite difference idea and radial basis functions (RBFs) is developed for approximating the solutions of two-dimensional stochastic fractional sine–Gordon equations over non-rectangular computational domains. In this te...

Advancements and Future Directions in Loss Function Designs for Physics-Informed Neural Networks: A Comprehensive Review

Abstract This review synthesizes recent advances in loss function designs for Physics-Informed Neural Networks (PINNs), a transformative approach to solving partial differential equations (PDEs) by embedding physical laws into deep learning frameworks. We begin by exploring the f...