Partial Differential Equations and Special Functions
13.1 Partial Differential Equations
Many complex physical, geometrical, and stochastic (probabilistic) phenomena are described by partial differential equations (PDEs), involving two or more independent variables. They are obviously much more difficult to solve than ordinary differential equations (ODEs). Some applications, including weather prediction, econometric models, fluid dynamics, and nuclear engineering, might involve simultaneous PDEs with large numbers of variables. Such problems are best tackled by powerful supercomputers. We will be content to consider a few representative second-order PDEs for which analytic solutions are possible.
Scalar and vector fields which depend ...
Get Guide to Essential Math, 2nd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
