In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

Background Tobacco use imposes significant economic burden, particularly in low and middle-income countries, diverting ...

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

ABSTRACT: Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making ...

ABSTRACT: In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial ...

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Introduction: Differential equations governed compartmental models are known for their ability to simulate epidemiological dynamics and provide highly accurate descriptive and predictive results.

Abstract: Theoretical and numerical results for the three-parameter three-dimensional family of ordinary differential equations known as the Lorenz equations are surveyed. Particular emphasis is laid ...

Prerequisites: Math 2433 and either Math 3321 or Math 3331. Course Description: Partial differential equations and boundary value problems, Fourier series, the heat equation, vibrations of continuous ...