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The One-Dimensional Heat Equation

Part 5: Summary

  1. What feature(s) of the symbolic form of the approximate solutions of the initial/boundary value problems reflect the decay of the solutions to a steady state?

  2. How does the time evolution of the solutions change as the coefficient alpha is increased? How is this type of change reflected in the symbolic form of the approximations?

  3. How can a problem with unequal boundary conditions be reduced to one with equal boundary conditions?

  4. How does the time evolution of the solutions change when the boundary conditions are not equal? How is this reflected in the symbolic form of the approximations?

 

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