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

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dc.contributor.authorLawal Sa’aduen_US
dc.contributor.authorM. A. Hashimen_US
dc.contributor.authorKarsono A. Dasukien_US
dc.contributor.authorBahrom Sanugien_US
dc.date.accessioned2024-05-28T04:24:29Z
dc.date.available2024-05-28T04:24:29Z
dc.date.issued2012
dc.date.submitted--
dc.descriptionVolume: 4 No: 3 (page: 88-93)en_US
dc.description.abstractThis 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.en_US
dc.identifier.doi10.5539/apr.v4n3p88
dc.identifier.epage93
dc.identifier.issn1916-9639
dc.identifier.issue3
dc.identifier.spage88
dc.identifier.urihttps://www.ccsenet.org/journal/index.php/apr/article/view/16825
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/5550
dc.identifier.volume4
dc.language.isoen_USen_US
dc.publisherCanadian Center of Science and Educationen_US
dc.relation.ispartofApplied Physics Researchen_US
dc.subjectschrödinger equation, method of lines (MOL), finite difference, discretizationen_US
dc.titleA Method Of Lines Approach In The Numerical Solution Of 1-Dimensional Schrodinger's Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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