13.2 Classical PDEs and Boundary-Value Problems


For the remainder of this and the next chapter we shall be concerned with finding product solutions of the second-order partial differential equations




or slight variations of these equations. These classical equations of mathematical physics are known, respectively, as the one-dimensional heat equation, the one-dimensional wave equation, and Laplace’s equation in two dimensions ...

Get Advanced Engineering Mathematics, 7th Edition now with the O’Reilly learning platform.

O’Reilly members experience live online training, plus books, videos, and digital content from nearly 200 publishers.