A probabilistic approach to phase-field brittle and ductile fracture with random material and
geometric properties is proposed within this work. In the macroscopic failure mechanics …

Abstract The Cahn-Hilliard phase-field model of two-phase incompressible flows, namely
the Cahn-Hilliard-Navier-Stokes (CH-NS) problem represents the fundamental building …

Silicon nanowire field-effect transistors are promising devices used to detect minute
amounts of different biological species. We introduce the theoretical and computational …

In this paper, the one-and two-dimensional stochastic multi-order fractional diffusion-wave
equations are introduced and a collocation procedure based on the shifted Jacobi …

The Dbar-dressing method is extended to investigate the derivative non-linear Schrödinger
equation with non-zero boundary conditions (DNLSENBC). Based on a meromorphic …

We consider the Banach space C [0, 1], which is a symmetric Banach space, and prove the
existence and approximation of numerical solutions for a broad class of third-order BVPs …

An approximation based on moving least squares for vector-valued functions satisfying the
divergence-free property was employed in [67] by Trask, Maxey, and Hu. They changed the …

Purpose The purpose of this study is to use the method of lines to solve the two-dimensional
nonlinear advection–diffusion–reaction equation with variable coefficients …

A normally-off β-Ga2O3 metal-oxide-semiconductor field-effect transistor (MOSFET) is
proposed using a technology computer-aided design (TCAD) device simulation, which …

Many techniques have been recently employed by researchers to address the challenges
posed by fractional differential equations. In this paper, we investigate the concept of Ulam …