摘要
The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit scheme for the nonlinear part of the operator and an implicit Euler discretization of the linear part. Finite difference schemes are used for the spatial part. This finally leads to the numerical solution of a sparse linear system that can be solved efficiently.
The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit scheme for the nonlinear part of the operator and an implicit Euler discretization of the linear part. Finite difference schemes are used for the spatial part. This finally leads to the numerical solution of a sparse linear system that can be solved efficiently.
作者
Banan Alqanawi
Musa Adam Aigo
Banan Alqanawi;Musa Adam Aigo(Department of Mathematics, Umm Al-Qura University, Mecca, Saudi Arabia;Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Mecca, Saudi Arabia)
