Abstract
This chapter considers a few aspects of the numerical solution of the Tricomi equation and the inverted Tricomi equation with particular emphasis on periodic problems. These periodic problems are of actual physical interest: the former is a model for the deflection of a floppy disc considered as a rotating membrane, while the latter is a model for the transonic deLaval nozzle. As most studies of the Tricomi equation have been in domains bounded by one or more characteristics, such periodic problems offer some different viewpoints and some different qualitative insight into these mixed elliptic–hyperbolic equations. Because of these equations being linear, many mathematical questions such as unique solvability, convergence, etc. can be easily answered on these model problems. The chapter also discusses the inverted Tricomi equation and the nozzle problem.
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