2024 : 11 : 22

Mohammad Mehdizadeh

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: 1
Address:
Phone:

Research

Title
A NEW EIGHT-STEP SINGULARLY P-STABLE METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHR ̈ODINGER EQUATION
Type
JournalPaper
Keywords
Schr ̈odinger equation, phase-lag, ordinary differential equations, P-stability, singularly P-stability.
Year
2022
Journal Twms Journal Of Pure And Applied Mathematics
DOI
Researchers Ali Shokri Shokri ، Beny Neta ، Mohammad Mehdizadeh

Abstract

In this paper, we present a new eight-step singularly P-stable method with vanished phase-lag and its derivatives up to fifth order for the numerical integration of the one-dimensional radial time independent Schrodinger equation. Numerical stability and phase properties of the new methods are analyzed and the periodicity region of the method has been plotted. Finally we compare the new method to the corresponding classical ones and other known methods from the literature to demonstrate the high efficiency of our new method.