%0 Journal Article
%T Semi-Implicit Scheme to Solve Allen-Cahn Equation with Different Boundary Conditions
%A Banan Alqanawi
%A Musa Adam Aigo
%J American Journal of Computational Mathematics
%P 122-135
%@ 2161-1211
%D 2023
%I Scientific Research Publishing
%R 10.4236/ajcm.2023.131005
%X The aim of this paper is to give an appropriate
numerical method to solve</span></span><span><span><span style=\"font-family:&quot;\"> 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.
%K Semi-Implicit Schemes
%K Allen-Cahn Equations
%K Finite Difference
%K Sparse System
%K Jacobi Fixed Point
%K Gauss-Seidel
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=123796