Differential equation

| 🗖 nosplit | ↑ parent "Calculus" | 0, 2k, 48

🗖 nosplit | ⇓ toc | ↑ parent "Calculus" | 0, 2k, 48

Table of contents | 0, 2k, 48
- 1. Linear differential equation | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
  - 1.1. Holonomic function | 🔗 link | 🗖 nosplit | ↑ parent "Linear differential equation"
- 2. Ordinary differential equation (ODE) | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
  - 2.1. System of ordinary differential equations | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ordinary differential equation"
    - 2.1.1. System of linear ordinary differential equations | 🔗 link | 🗖 nosplit | ↑ parent "System of ordinary differential equations"
- 3. Partial differential equation (PDE) | 0, 537, 14 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
  - 3.1. Important partial differential equations | 41, 537, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Partial differential equation"
    - 3.1.1. Laplace's equation | 83, 140, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Important partial differential equations"
      - 3.1.1.1. Poisson's equation | 16, 16, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Laplace's equation"
        
        3.1.1.1.1. Uniqueness theorem for Poisson's equation | 🔗 link | 🗖 nosplit | ↑ parent "Poisson's equation"
      - 3.1.1.2. Harmonic function | 11, 41, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Laplace's equation"
        
        3.1.1.2.1. Spherical harmonic | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Harmonic function"
    - 3.1.2. Heat equation | 144 | 🔗 link | 🗖 nosplit | ↑ parent "Important partial differential equations"
    - 3.1.3. Wave equation | 68, 191, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Important partial differential equations"
      - 3.1.3.1. 2D wave equation on a circular domain | 0, 106, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Wave equation"
        
        3.1.3.1.1. Bessel function | 82, 106, 1 | 🔗 link | 🗖 nosplit | ↑ parent "2D wave equation on a circular domain"
        
        3.1.3.1.1.1. Fourier-Bessel series | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Bessel function"
      - 3.1.3.2. Helmholtz equation | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Wave equation"
    - 3.1.4. Navier-Stokes equations | 0, 21, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Important partial differential equations"
      - 3.1.4.1. Navier-Stokes existence and smoothness | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Navier-Stokes equations"
- 4. Existence and uniqueness of solutions of partial differential equations | 109 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
- 5. System of partial differential equations | 77 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
- 6. Classification of second order partial differential equations into elliptic, parabolic and hyperbolic | 41, 119, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
- 7. Boundary condition | 0, 516, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
- 8. Partial differential equation solver | 0, 996, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Differential equation"
  - 8.1. FreeFem | 628, 667, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Partial differential equation solver"
    - 8.1.1. FreeFem examples | 0, 39, 2 | 🔗 link | 🗖 nosplit | ↑ parent "FreeFem"
      - 8.1.1.1. heat-dirichlet.1d.freefem | 19 | 🔗 link | 🗖 nosplit | ↑ parent "FreeFem examples"
      - 8.1.1.2. heat-dirichlet-2d-freefem | 20 | 🔗 link | 🗖 nosplit | ↑ parent "FreeFem examples"
  - 8.2. FEniCS Project | 221, 329, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Partial differential equation solver"
    - 8.2.1. Hans Petter Langtangen | 108 | 🔗 link | 🗖 nosplit | ↑ parent "FEniCS Project"

Ancestors

Calculus | 11, 4k, 96
Mathematics | 17, 10k, 239
Ciro Santilli's Homepage | 238, 147k, 2k

Incoming links

Applications of Lie groups to differential equations | 102
Dirac equation vs quantum electrodynamics | 123
$L^{2}$ | 126