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

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

Heaviside functions. Application of Fourier transforms to solve PDE problems on an infinite domain, including diffusion, wave and Laplace's equation. Solution of wave equation by separation of ...

Partial differential equations provide mathematical models of many important problems in the physical ... Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation ...