Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
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 Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
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 Year: 2018, 2018
Member of: Trent University Graduate Thesis Collection
Abstract: <p>With wide applications in many fields such as engineering, physics, chemistry, biology and social sciences, semi-linear equations have attracted great interests of researchers from various areas. In the study of existence of solutions for such class of equations, a general and commonly applied method is the compression cone method for fixed-point index. The main idea is to construct a… more Year: 2017, 2017
Member of: Trent University Graduate Thesis Collection
Abstract: <p>In this thesis, we study modelling with non-linear ordinary differential equations, and the existence of positive solutions for Boundary Value Problems (BVPs). These problems have wide applications in many areas. The focus is on the extensions of previous work done on non-linear second-order differential equations with boundary conditions involving first-order derivative. The… more Year: 2016, 2016
Member of: Trent University Graduate Thesis Collection
Abstract: <p>This thesis is intended to support dependent-on-crops farmers to hedge the price risks of their crops. Firstly, we applied one-factor model, which incorporated a deterministic function and a stochastic process, to predict the future prices of crops (soybean). A discrete form was employed for one-month-ahead prediction. For general prediction, de-trending and de-cyclicality were used to… more Year: 2016, 2016
Member of: Trent University Graduate Thesis Collection
Abstract: <p>In this work, various aspects of neural networks, pre-trained with denoising autoencoders (DAE) are explored. To saturate neurons more quickly for feature learning in DAE, an activation function that offers higher gradients is introduced. Moreover, the introduction of sparsity functions applied to the hidden layer representations is studied. More importantly, a technique that swaps the… more Year: 2015, 2015
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Beland, Jacques Alain Gerard, Thesis advisor (ths): McConnell, Sabine, Thesis advisor (ths): Irwin, Judith, Degree committee member (dgc): Abdella, Kenzu, Degree committee member (dgc): Hurley, Richard, Degree committee member (dgc): Bauer, Michael, Degree granting institution (dgg): Trent University Abstract: <p>Artificial Neural Networks (ANN) have been applied to many areas of research. These techniques use a series of object attributes and can be trained to recognize different classes of objects. The Self-Organizing Map (SOM) is an unsupervised machine learning technique which has been shown to be successful in the mapping of high-dimensional data into a 2D representation referred to as a map… more Year: 2014, 2014
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Comprehending the dynamics of infectious diseases is very important in formulating public health policies to tackling their prevalence. Mathematical epidemiology (ME) has played a very vital role in achieving the above. Nevertheless, classical mathematical epidemiological models do not explicitly model the behavioural responses of individuals in the presence of prevalence of these… more Year: 2013, 2013
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Mohseniahouei, Yasaman, Thesis advisor (ths): Abdella, Kenzu, Thesis advisor (ths): Pollanen, Marco, Degree committee member (dgc): Abdella, Kenzu, Degree committee member (dgc): Pollanen, Marco, Degree committee member (dgc): Cater, Bruce, Degree granting institution (dgg): Trent University Abstract: <p>In this thesis, we explore the application of the Sinc-Collocation method to an oceanography model. The model of interest describes a wind-driven current with depth-dependent eddy viscosity and is formulated in two different systems; a complex-velocity system and a real-value coupled system. In general, the Sinc-based methods excel over other traditional numerical methods due to their… more
