1.2 Nonhomogeneous heat PDE in 1D bounded domain. (Source term present)

  1.2.1 Both ends at temperature that depends on time. Source term depends on x only
  1.2.2 Both ends at temperature that depends on time. Source term depends on x and t
  1.2.3 Both ends at zero temperature. Source term depends on \(x\) only
  1.2.4 Both ends at zero temperature. Source term depends on \(x\) and \(t\)
   1.2.4.1 Example 1
   1.2.4.2 Example 2
  1.2.5 Left end at fixed temperature, right end zero temperature. Source term depends on \(x\) and \(t\).
  1.2.6 Both ends at fixed temperature (not time dependent). Source term depends on x only
  1.2.7 Both ends at fixed temperature. Source term depends on x and t