First-order equations and classification
Partial differential equations · STEM / applied
Partial derivatives and notation; initial and boundary value problems
Objectives
- Partial derivatives and notation; initial and boundary value problems
- First-order linear and quasilinear PDEs; method of characteristics (intro)
- Classification of second-order linear PDEs: elliptic, parabolic, hyperbolic
- Physical interpretation: equilibrium, diffusion, and wave propagation
- Well-posedness and types of boundary conditions (Dirichlet, Neumann)
Study materials
- Practice testComing soon