Digital transformation affects research in almost every scientific discipline. We give a brief
overview on how digital technologies have emerged into psychological science in the past …

This paper investigates the pattern dynamics of a harvested predator–prey model with no-
flux boundary conditions. Firstly, we analyze the positive equilibrium types of the local …

In this paper, we present a numerical method for the phase-field model of anisotropic ice
crystal growth on a spherical surface. The mathematical model includes terms related to the …

In this study, we present a mathematical model with space-dependent parameters and
appropriate boundary conditions which can simulate the realistic nonhomogeneous zebra …

This work analyzes bifurcation delay and front propagation in the one-dimensional real
Ginzburg-Landau equation with periodic boundary conditions on isotropically growing or …

Shape transformation on evolving curved surfaces is essential for its diverse applications
across various scientific disciplines and facilitates the deeper understanding of natural …

In this paper a new direct RBF partition of unity (D-RBF-PU) method is developed for
numerical solution of partial differential equations defined on smooth orientable surfaces …

This paper presents an efficient collocation method which combines the generalized finite
difference method (GFDM) with the Krylov deferred correction (KDC) method for the long …

This paper introduces a localized meshless method to analyze time-harmonic acoustic wave
propagation on curved surfaces with periodic holes/inclusions. In particular, the generalized …

In this paper, we design a new framework of direct radial basis function partition of unity (D-
RBF-PU) method to solve parabolic equation on surface with and without boundary. Resort …