Performance analysis on covid-19 models with discontinuities and efficient defect control for initial value ODE solvers

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dc.contributor.advisor Muir, Paul H.
dc.creator Agowun, Humaid
dc.date.accessioned 2022-05-05T14:56:05Z
dc.date.available 2022-05-05T14:56:05Z
dc.date.issued 2022-04-28
dc.identifier.uri http://library2.smu.ca/xmlui/handle/01/30910
dc.description 1 online resource (203, 1 unnumbered pages) : charts, graphs
dc.description Includes abstract and appendix.
dc.description Includes bibliographic references (pages 180-182).
dc.description.abstract <span>In this thesis, we consider the problems of numerically solving ordinary differ ential equation (ODE) and partial differential equation (PDE) Covid-19 models with discontinuities. We then tackle the issue of computing accurate continu ous solutions to ODE problems through an efficient defect control scheme using multistep interpolants. The defect is the amount by which a continuous approx imate solution fails to satisfy the ODE.</span><br /><span>Using a Covid-19 ODE model with discontinuities and the R, Python, Scilab and Matlab programming environment, we discuss how to handle issues with time- and state-dependent discontinuities. Solving a Covid-19 PDE model with an error control PDE solver with event detection capabilities, BACOLIKR [23], we discuss issues associated with solving PDE models with time- and state dependent discontinuities.</span><br /><span>Using the framework of multistep interpolants (Hermite-Birkhoff interpolants), we derive efficient 4<sup>th</sup>, 6<sup>th</sup> and 8<sup>th</sup> order interpolants that can be used to per form defect control. We investigate several questions with this approach and show how to obtain effective defect controlled continuous approximate solutions to ODEs.</span> en_CA
dc.description.provenance Submitted by Greg Hilliard (greg.hilliard@smu.ca) on 2022-05-05T14:56:05Z No. of bitstreams: 1 Agowun_Humaid_Honours_2022.pdf: 10764942 bytes, checksum: cc0bd5ef529d0c50bca4a8902b7cecd1 (MD5) en
dc.description.provenance Made available in DSpace on 2022-05-05T14:56:05Z (GMT). No. of bitstreams: 1 Agowun_Humaid_Honours_2022.pdf: 10764942 bytes, checksum: cc0bd5ef529d0c50bca4a8902b7cecd1 (MD5) Previous issue date: 2022-04-28 en
dc.language.iso en en_CA
dc.publisher Halifax, N.S. : Saint Mary's University
dc.title Performance analysis on covid-19 models with discontinuities and efficient defect control for initial value ODE solvers en_CA
dc.type Text en_CA
thesis.degree.name Bachelor of Science (Honours Computing Science)
thesis.degree.name Bachelor of Science (Honours Mathematics)
thesis.degree.level Undergraduate
thesis.degree.discipline Mathematics and Computing Science
thesis.degree.grantor Saint Mary's University (Halifax, N.S.)
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