Many physical and engineering problems when formulated in mathematical language give rise to partial differential equations. Besides these, partial differential equations also play an important role ...

In this chapter, we will discuss such geometrical and physical problems which lead to the differential equations of the first order and first degree. A summary of the fundamental principles required ...

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly ... Copious exercises are included, and applications of the theory are ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

The three main types of linear second order partial differential equations will be considered: parabolic (diffusion equation), elliptic (Laplace equation), and hyperbolic (wave equation) and their ...

Under the hood, mathematical problems called partial differential equations (PDEs ... Among other applications, the framework ...