Chapter 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 \(u(-L)=0,u\left ( L\right ) =0\)