LaplacianPDETerm
LaplacianPDETerm[vars]
represents a Laplacian term with model variables vars.
Details

- The Laplacian term is a differential operator term used to describe many physical phenomena, such as potentials, heat transfer, acoustics, structural mechanics and fluid dynamics.
- LaplacianPDETerm returns a differential operators term to be used as a part of partial differential equations:
- LaplacianPDETerm can be used to model Laplacian equations with dependent variable
, independent variables
and time variable
.
- Stationary model variables vars are vars={u[x1,…,xn],{x1,…,xn}}.
- Time-dependent model variables vars are vars={u[t,x1,…,xn],{x1,…,xn}} or vars={u[t,x1,…,xn],t,{x1,…,xn}}.
- The Laplacian
is realized as a DiffusionPDETerm with –1 as a diffusion coefficient resulting in
.
- The diffusion coefficient –1 affects the meaning of NeumannValue.

Examples
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Wolfram Research (2020), LaplacianPDETerm, Wolfram Language function, https://reference.wolfram.com/language/ref/LaplacianPDETerm.html.
Text
Wolfram Research (2020), LaplacianPDETerm, Wolfram Language function, https://reference.wolfram.com/language/ref/LaplacianPDETerm.html.
BibTeX
BibLaTeX
CMS
Wolfram Language. 2020. "LaplacianPDETerm." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/LaplacianPDETerm.html.
APA
Wolfram Language. (2020). LaplacianPDETerm. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/LaplacianPDETerm.html