Repository logo
  • English
  • Català
  • Čeština
  • Deutsch
  • Español
  • Français
  • Gàidhlig
  • Italiano
  • Latviešu
  • Magyar
  • Nederlands
  • Polski
  • Português
  • Português do Brasil
  • Srpski (lat)
  • Suomi
  • Svenska
  • Türkçe
  • Tiếng Việt
  • Қазақ
  • বাংলা
  • हिंदी
  • Ελληνικά
  • Српски
  • Yкраї́нська
  • Log In
    New user? Click here to register.Have you forgotten your password?
Repository logo
    Communities & Collections
    Research Outputs
    Fundings & Projects
    People
    Statistics
  • English
  • Català
  • Čeština
  • Deutsch
  • Español
  • Français
  • Gàidhlig
  • Italiano
  • Latviešu
  • Magyar
  • Nederlands
  • Polski
  • Português
  • Português do Brasil
  • Srpski (lat)
  • Suomi
  • Svenska
  • Türkçe
  • Tiếng Việt
  • Қазақ
  • বাংলা
  • हिंदी
  • Ελληνικά
  • Српски
  • Yкраї́нська
  • Log In
    New user? Click here to register.Have you forgotten your password?
  1. Home
  2. Staff Publications
  3. Other Publications
  4. A Method Of Lines Approach In The Numerical Solution Of 1-Dimensional Schrodinger's Equation
 
  • Details
Options

A Method Of Lines Approach In The Numerical Solution Of 1-Dimensional Schrodinger's Equation

Journal
Applied Physics Research
Date Issued
2012
Author(s)
Lawal Sa’adu
M. A. Hashim
Karsono A. Dasuki
Bahrom Sanugi
DOI
10.5539/apr.v4n3p88
Abstract
This paper discusses the numerical solution of the 1-dimensional Schrödinger equation using method of lines approach (MOL) where the spatial dimension is discretize using some finite difference approximation leaving the time dimension to be the only independent variable in the resulting system of initial value problems. The effect of changing the discretization size on the stability of the solution procedure with respect to the absolute stability property of the numerical method used has been studied. In the study the use of Simpson’s rule in MATLAB has also been incorporated. The result indicates that there is some relationship between the discretization size and the convergence property. Further work will look into the modeling this equation to the application in Physics.
Subjects

schrödinger equation,...

File(s)
Loading...
Thumbnail Image
Name

A Method of Lines Approach in the Numerical Solution of 1-Dimensional Schrödinger’s Equation.pdf

Size

169.12 KB

Format

Adobe PDF

Checksum

(MD5):cfb07b05fd6a011147a441df908c7078

Welcome to SRP

"A platform where you can access full-text research
papers, journal articles, conference papers, book
chapters, and theses by USIM researchers and students.”

Contact:
  • ddms@usim.edu.my
  • 06-798 6206 / 6221
  • USIM Library
Follow Us:
READ MORE Copyright © 2024 Universiti Sains Islam Malaysia