Pascal, Fibonacci, Polynomials and Differential Equations Modeling
0Day 1 | 8:30 PM–9:00 PM
"Pascal, Fibonacci, Polynomials and Differential Equations Modeling"
Presented by:
James Sochacki, Power Series Solutions, LLC owner (James Madison University - Emeritus)
https://qubeshub.org/community/groups/simiode/expo/2025
Abstract: Pascal developed a triangle made up of natural numbers that contains the Fibonacci sequence in it. This is well known. However, what is not well known is that there are polynomials and their products in the Pascal triangle that solve some well-known differential equations. Through these differential equations, one can develop more general Pascal type triangles that contain Fibonacci sequences in a straightforward manner. Maple will be used to highlight the symmetry of these patterns and the differential equations. This will lead to developing differential equation models for biological and chemical dynamics.