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Collection of PDE animations

Nasser M. Abbasi

January 13, 2020   Compiled on January 13, 2020 at 3:18pm
1 Heat PDE
2 Wave PDE
3 Laplace and Poisson PDE
4 Burger’s PDE
 4.1 Example 1
5 Misc. PDE’s
 5.1 FitzHugh-Nagumo in 2D
  5.1.1 Example 1
  5.1.2 Example 2
6 Appendix
 6.1 Summary table
 6.2 Using Mathematica to obtain the eigenvalues and eigenfunctions for heat PDE in 1D
  6.2.1 \(u(0)=0,u(L)=0\)
  6.2.2 \(u^{\prime }(0)=0,u^{\prime }(L)=0\)
  6.2.3 \(u^{\prime }(0)=0,u(L)=0\)
  6.2.4 \(u(0)=0,u^{\prime }(L)=0\)
  6.2.5 \(u(0)=0,u\left ( L\right ) +u^{\prime }(L)=0\)
  6.2.6 \(u\left ( 0\right ) +u^{\prime }(0)=0,u^{\prime }(L)=0\)
  6.2.7 \(u(-L)=0,u\left ( L\right ) =0\)