A finite difference method for the wide‐angle “parabolic” equation in a waveguide with downsloping bottom
A finite difference method for the wide‐angle “parabolic” equation in a waveguide with downsloping bottom
Abstract We consider the third‐order wide‐angle “parabolic” equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range‐dependent bathymetry. It is known that the initial‐boundary‐value problem for this equation may not be well posed in the case of (smooth) bottom profiles of arbitrary shape, if it …