In this paper, we present a meshless radial basis function method to solve conservative
Allen–Cahn equation on smooth compact surfaces embedded in R 3, which can inherits the …

The aim of this work consists of finding a suitable numerical method for the solution of the
mathematical model describing the prostate tumor growth, formulated as a system of time …

Background: Implicit surface is a kind of surface modeling tool, which is widely used in point
cloud reconstruction, deformation and fusion due to its advantages of good smoothness and …

The main aim of this paper is to develop a new framework of a meshless approximation for
solving numerically three nonlinear partial differential equations in biology, ie, the …

We present a fast evolution numerical algorithm for solving the Allen–Cahn (AC) equations.
One of efficient computational techniques for the AC equation is the operator splitting …

The main aim of this paper is to present new and simple numerical methods for solving the
time-dependent transport equation on the sphere in spherical coordinates. We use two …

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 …

A numerical method has been designed for solving the surface Allen–Cahn model. The
proposed numerical procedure is based on the generalized moving least-squares …

The paper first provides an iterated quasi-interpolation scheme for function approximation
over periodic domain and then attempts its applications to solve time-dependent surface …

In this paper, we present a simple and accurate adaptive time‐stepping algorithm for the
Allen–Cahn (AC) equation. The AC equation is a nonlinear partial differential equation …