Boundary Problems in One Dimension (Continuation)

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Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Covers the concept of a square potential well and the search for solutions using trigonometric functions.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Explains conservation of energy and Fourier's law in thermal diffusion.

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

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Covers boundary conditions for heat diffusion in 1D systems.