A Finite Difference Domain Decomposition Algorithm with High Accuracy for the Parabolic Equations

A finite difference domain decomposition algorithm with high accuracy for the parabolic equation is discussed. In the multi-subdomain domain decomposition method, multistep explicit scheme with high accuracy is used at the interface points and high accurate implicit scheme is applied at the interior points, respectively. It achieved a better error bound of the approximate solution. At last, the numerical experiments are also presented.