In this paper, we consider numerical approximations for the viscous Cahn–Hilliard equation
with hyperbolic relaxation. This type of equations processes energy-dissipative structure …

In this paper, we propose full discrete linear schemes for the molecular beam epitaxy (MBE)
model with slope selection, which are shown to be unconditionally energy stable and unique …

In this paper, we consider numerical approximations for the anisotropic Cahn–Hilliard
equation. We develop two linear and second-order schemes that combine the IEQ approach …

In this paper, we develop two second-order in time, linear and unconditionally energy stable
time marching schemes for solving the nonlocal Cahn–Hilliard phase field model. The main …

We propose two efficient, non-iterative, and second-order accurate algorithms to solving the
anisotropic Allen–Cahn equation with the nonlocal mass conservation. The first scheme is …

We introduce a novel class of ultra-convergent structures for the Finite Volume Element
(FVE) method. These structures are characterized by asymmetric and optional …

Radial basis function (RBF) collocation methods (RBFCMs) are applied to fourth order
boundary value problems (BVPs). In particular, we consider the classical Kansa method and …

We propose a partial differential equations-based algorithm for the 3D implicit surface
reconstruction from a set of scattered cloud data. In the solution process, the method of …

We employ a radial basis function (RBF)-differential quadrature (DQ) method for the
numerical solution of elliptic boundary value problems in annular domains. With an …

In this paper, the localized method of approximate particular solutions using polynomial
basis functions is proposed to solve plate bending problems with complex domains. The …