Trent University Graduate Thesis Collection

Item Description
Identifier
tula:etd
Type
Collection
Language
eng
Extent
1 item
Rights
Copyright for all items in the Trent University Graduate Thesis Collection is held by the author, with all rights reserved, unless otherwise noted.
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Sinc-Collocation Difference Methods for Solving the Gross-Pitaevskii Equation

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Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Kang, Shengnan, Thesis advisor (ths): Abdella, Kenzu, Thesis advisor (ths): Pollanen, Marco, Degree granting institution (dgg): Trent University
Abstract: <p>The time-dependent Gross-Pitaevskii Equation, describing the movement of parti-</p><p>cles in quantum mechanics, may not be solved analytically due to its inherent non-</p><p>linearity. Hence numerical methods are of importance to approximate the solution.</p><p>This study develops a discrete scheme in time and space to simulate the solution</p>… more
Full Text: Sinc-Collocation Difference Methods for Solving the Gross-Pitaevskii Equation A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT …

Solving Differential and Integro-Differential Boundary Value Problems using a Numerical Sinc-Collocation Method Based on Derivative Interpolation

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Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Ross, Glen Charles, Thesis advisor (ths): Abdella, Kenzu, Degree committee member (dgc): Pollanen, Marco, Degree granting institution (dgg): Trent University
Abstract: <p>In this thesis, a new sinc-collocation method based upon derivative interpolation is developed for solving linear and nonlinear boundary value problems involving differential as well as integro-differential equations. The sinc-collocation method is chosen for its ease of implementation, exponential convergence of error, and ability to handle to singularities in the BVP. We present a… more
Full Text: Solving Differential and Integro-Differential Boundary Value Problems using a Numerical Sinc-Collocation Method Based on Derivative Interpolation A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the …