Partial Differential Equations: Classification and Solutions

Related lectures (28)

Page 3 of 3

Covers the application of finite difference methods to solve partial differential equations.

Covers the analysis and solution of diffusion equations using Green's function approach and discusses boundary conditions and dimensional analysis.

Covers the solving of PDEs using Fourier series and boundary conditions of Neumann and Dirichlet type.

Covers the Black-Scholes-Merton model, dynamics, self-financing strategies, and the PDE.

Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.