معادلات دیفرانسیل جزئی، یادداشت‌های درسی

This section is devoted to basic concepts in partial differential equations. We start the chapter with definitions so that we are all clear when a term like linear partial differential equation (PDE) or second order PDE is mentioned. After that we give a list of physical problems that can be modelled as PDEs. An example of each class (parabolic, hyperbolic andelliptic) will be derived in some detail. Several possible boundary conditions are discussed.