Absorbing boundary conditions (ABCs) are generally required for simulating waves in
unbounded domains. As one of those approaches for designing ABCs, perfectly matched …

" Artificial Boundary Method" systematically introduces the artificial boundary method for the
numerical solutions of partial differential equations in unbounded domains. Detailed …

Anomalous diffusion behavior in many practical problems can be described by the nonlinear
time-fractional parabolic problems on unbounded domain. The numerical simulation is a …

The artificial boundary method is one of the most popular and effective numerical methods
for solving partial differential equations on unbounded domains, with more than thirty years …

In this paper, for a class of fractional sub-diffusion equations on a space unbounded domain,
firstly, exact artificial boundary conditions, which involve the time-fractional derivatives, are …

An efficient method is proposed for numerical solutions of nonlinear Schrödinger equations
on an unbounded domain. Through approximating the kinetic energy term by a one-way …

This paper aims to design local absorbing boundary conditions (LABCs) for the two-
dimensional nonlinear Schrödinger equations on a rectangle by extending the unified …

We propose an adaptive approach in picking the wave-number parameter of absorbing
boundary conditions for Schrödinger-type equations. Based on the Gabor transform which …

This paper is concerned with the design of artificial boundary conditions (ABCs) for
nonlinear time fractional Burgers' equation on unbounded domains, that describes the …

Numerical simulation of the solution to the sine-Gordon equation on the whole real axis is
considered in this paper. Based on nonlinear spectral analysis, exact nonreflecting …