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A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation

Thesis (M.Sc)-- Faculty of Science and Technology, Universiti Sains Islam Malaysia, 2010

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Main Author: Sa'adu, Lawal
Format: Thesis
Language:English
Published: Universiti Sains Islam Malaysia 2018
Subjects:
Schrodinger equation
Online Access:http://ddms.usim.edu.my:80/jspui/handle/123456789/16064
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spelling my.usim-160642018-05-18T04:02:40Z A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation Sa'adu, Lawal Schrodinger equation Thesis (M.Sc)-- Faculty of Science and Technology, Universiti Sains Islam Malaysia, 2010 In this thesis we present a numerical solution of the I-dimensional Schrodinger equation using the method of lines approach (MOL) where we discretize the spatial dimension using some finite difference approximation leaving the time dimension to be the only independent variable in the resulting system of initial value problems. We study the effect of changing in the discretization size on the accuracy of the solution procedure versus changing the step size in the integration of the resulting differential equation. In the study we incorporate the use of Simpson's rule function in MATLAB. The results indicated that there are some advantages in deciding between the discretization sizes or step size in the numerical solution of differential equation as far as the computing time is concerned. 2018-05-16T03:25:01Z 2018-05-16T03:25:01Z 2010 Thesis http://ddms.usim.edu.my:80/jspui/handle/123456789/16064 en Full text Universiti Sains Islam Malaysia
institution Universiti Sains Islam Malaysia
building USIM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universit Sains Islam i Malaysia
content_source USIM Institutional Repository
url_provider http://ddms.usim.edu.my/
language English
topic Schrodinger equation
spellingShingle Schrodinger equation
Sa'adu, Lawal
A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
description Thesis (M.Sc)-- Faculty of Science and Technology, Universiti Sains Islam Malaysia, 2010
format Thesis
author Sa'adu, Lawal
author_facet Sa'adu, Lawal
author_sort Sa'adu, Lawal
title A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
title_short A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
title_full A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
title_fullStr A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
title_full_unstemmed A discretization size and step size varying strategy in the numerical solution of I-Dimensional Schrodinger Equation
title_sort discretization size and step size varying strategy in the numerical solution of i-dimensional schrodinger equation
publisher Universiti Sains Islam Malaysia
publishDate 2018
url http://ddms.usim.edu.my:80/jspui/handle/123456789/16064
_version_ 1645154086827327488
score 13.223943

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