The problem of solving the Schrödinger equation by a method related to the restrictive Padé approximation is considered. It yields more accurate results. The complex tridiagonal system which arises from the finite difference discretization of the considered equation is solved by Evans-Roomi [1] method. The restrictive Padé approach is applied successfully for the one and two dimensional Schrödinger equations. It is shown by numerical examples that it is more efficient and gives faster results compared with classical finite difference methods.
This work is concerned with the numerical treatment of initial-boundary value problem for linear parabolic equations by a small parameter with the time derivative term. This problem is reduced to a stiff system of ODEs in time.The resulting system is solved by applying the restrictive Pade approximation of matrix exponentials. Numerical results are given and the method gives better results compared with the classical Pade approximation treatments.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.