MathLiveLaplace operator in Cartesian coordinates
The Laplace operator is the sum of the second partial derivatives with respect to each Cartesian coordinate, equal to the divergence of the gradient. It appears throughout physics and engineering in equations such as Laplace's equation, the heat equation and the wave equation.
\nabla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2}What the symbols mean
| Laplace operator (Laplacian) | |
| Cartesian coordinate in the first direction | |
| Cartesian coordinate in the second direction | |
| Cartesian coordinate in the third direction |
About this formula
- FieldMathematics
- TopicVector calculus
- LevelUniversity
- Also calledLaplacian, Laplacian operator, divergence of gradient, Laplacian in Cartesian coordinates, del squared, Laplace operator formula
- SourceWikidata Q203484
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