ABSTRACT
In previous chapters we studied analytical methods for solving different types of initial and boundary value problems. They include the characteristics methods for the first-and second-order equations (Chapter 2); inverse operator method (Chapter 3); separation of variables method in Cartesian, cylindrical polar, and spherical coordinates (Chapter 5); integral transform methods, including the Laplace and Fourier transforms, Fourier sine and cosine transforms, and the finite Fourier transform (Chapter 6); and Green’s function methods for solving elliptic, parabolic, and hyperbolic equations (Chapter 7). In this chapter we discuss some additional initial and boundary value problems, and analyze the kinematics of wave propagation and dispersion, boundary layer flows, and certain ill-posed problems.
