Boundary Conditions and Basis Decomposition

Related lectures (28)

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Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Covers the basics of Partial Differential Equations, including the Laplace equation, heat equation, and wave equation.

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores the application of PDEs in viscoelastic materials and materials science.

Explores the parabolic heat equation evolution and numerical solution methods.

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.

Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.