Abstract
In this chapter, the Laplace transform (first introduced in Chapter 7) method of solution is employed to solve the problems of heat conduction in a laterally insulated semi-infinite or infinite bar that had been solved by a similarity solution method in Chapter 6 and Problem 6.1, respectively. The Laplace transform method of solving the latter problem involves the use of a Dirac delta function which is introduced in a pastoral interlude. Then the sound wave problem, the solution of which had been obtained in Chapter 12 by employing D’Alembert’s characteristic coordinate method, is solved by using a Fourier integral approach.
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