Kean University undergraduate students Timothy Alcid (NJCSTM, Engineering Science), Jonathan Coronel (NJCSTM, Computational Math), and David Yepez (NJCSTM, Chemistry Education/Physics minor) recently worked with Dr. Ted Farnum on a project designed to give computational engineering science students an introduction to numerical and analytic methods for solving partial differential equations. Partial Differential Equations (PDEs) describe phenomena that vary in both space and time.
Dr. Farnum hopes the results of the project can be used to help educate non-specialists about the applications and behaviors of PDEs, a field of great importance to a broad range of sciences. Diffusion and wave propagation are two examples of physical phenomena that have fundamental applications in biology, medicine, oceanography, and climate science and can be described by PDEs.
Coronel, Alcid and Yepez each focused on a particular area of the project. Coronel developed an Easy Java Simulation (EJS) modeling tool for short pulse propagation. His goal was to not only describe a particular laser system but also to create a way for students to develop an intuition about non-linear waves in general. Alcid worked on a specific, focused problem: the onset of harmonic pulse-splitting. His project analyzed a model for optical pulse propagation built for electrical engineers. David Yepez’s project was theoretical in nature. He worked on modifying and developing code to run simulations for multi-channel pulse propagation.
The students will present their research during Kean Research Days 2015 and plan to submit their results to various journals and regional conferences.