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Partial differential equations

A PDE relates a multivariable unknown function to its partial derivatives.

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More concepts to explore

  • Boundary value problems

    Boundary data restrict a differential equation's solution on the edge of its domain.

  • Heat equation

    The heat equation models diffusion through time and spatial second derivatives.

  • PDE classification

    Second-order principal terms distinguish elliptic, parabolic and hyperbolic behavior under appropriate assumptions.

  • Partial derivatives

    A partial derivative varies one coordinate while holding the others fixed.

  • Well-posedness

    A well-posed problem has a solution, uniqueness and continuous dependence on data.

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Partial Differential Equations

Explore equations and data; model equations; weak solutions and discretization. Concepts and connections are available independently of video coverage.

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