Partial Differential Equations: Solutions and Applications

Related lectures (28)

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Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers implicit schemes in numerical analysis for solving partial differential equations.

Introduces partial differential equations, covering derivatives, special cases, transformations, and the Jacobian matrix.

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Covers solving differential equations and special functions essential for physicists, emphasizing practical problem-solving skills.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.