Partial Differential Equations: Solutions and Applications

Related lectures (28)

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Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

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

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

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

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

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