Math in the Wild: Taming Differential Equations |
Math in the Wild: Taming Differential equations Computer Algebra Aided Chebyshev Method Michael Xue University of Indianapolis, Sept. 2024 DE in Practice Nonlinear PDE $latex \displaystyle \frac{\partial u(x,t)}{\partial t} = a(x)\frac{\partial^2 u(x,t)}{\partial x^2} +b(x)\frac{\partial u(x,t)}{\partial x} + g(u(x, t))$ Linear PDE $latex \displaystyle \frac{\partial u(x,t)}{\partial t} = a(x)\frac{\partial^2 u(x,t)}{\partial x^2} +b(x)\frac{\partial u(x,t)}{\partial x} +c(x)u(x,t) +…
