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Numerical Simulation of the Nagumo Equation by Finite Difference Method
(Texas A&M International University, 2015-12)
The Nagumo equation is an important nonlinear reaction-diffusion equation used to model the transmission of nerve impulses. In this thesis, traveling wave solutions to the Nagumo equation are studied. A pseudo-Crank-Nicolson ...
Approximate Solutions to the Allen-Cahn Equation Using the Finite Difference Method
(Texas A&M International University, 2016-06-13)
Seeking a deeper understanding of the world has been a driving factor in Applied Mathematics. From counting and measuring physical objects to developing equations and ratios that resemble patterns in nature, mathematics ...