Laplace's equation facts for kids

Laplace's equation is a partial differential equation, of the second order. It is named after Pierre-Simon Laplace, an 18th century mathematician who first described it. One of the uses of the equation is to predict the conduction of heat, another to model the conduction of electricity.

Images for kids

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  Pierre-Simon Laplace, 1749–1827

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  Real (Laplace) spherical harmonics Yℓm for ℓ = 0, ..., 4 (top to bottom) and m = 0, ..., ℓ (left to right). Zonal, sectoral, and tesseral harmonics are depicted along the left-most column, the main diagonal, and elsewhere, respectively. (The negative order harmonics Y_{\ell}^{-m} would be shown rotated about the z axis by 90^\circ/m with respect to the positive order ones.)

See also

In Spanish: Ecuación de Laplace para niños