Numerical Methods: Boundary Value Problems

Related lectures (28)

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Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Covers Euler and Crank-Nicolson methods for solving differential equations.

Covers the heat equation, its physical interpretation, and numerical methods for solving it.

Covers the application of finite element methods to solve boundary value problems in one dimension.

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

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

Covers time-dependent diffusion on a limited domain with boundary conditions and solution methods.

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.