# Heat problem in polar coordinates? Method of Lines?

**URL:** <https://discourse.julialang.org/t/heat-problem-in-polar-coordinates-method-of-lines/89713>\
**Category:** General Usage\
**Created:** [November 3, 2022, 1:38pm UTC](https://discourse.julialang.org/t/heat-problem-in-polar-coordinates-method-of-lines/89713 "2022-11-03T13:38:46Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![David\_F](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/david_f/32/42706_2.png) [@David\_F](https://discourse.julialang.org/u/David_F)\
**Post date:** [November 3, 2022, 1:38pm UTC](https://discourse.julialang.org/t/heat-problem-in-polar-coordinates-method-of-lines/89713/1 "2022-11-03T13:38:46Z")

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Can I solve the heat equation using polar coordinates (a hollow sphere) with Method of Lines?  
I haven’t found an example with polar or spherical coordinates, although the [documentation](https://docs.sciml.ai/MethodOfLines/stable/) mentions that a spherical Laplacian is supported.

My equation is the following:

 ![Untitled](https://global.discourse-cdn.com/julialang/original/3X/d/1/d1ecfb280bd110ec5c33a1cd309197ffd6b2913b.png)  
What would be the correct syntax for the equation and differential definitions that Method of Lines expects with polar coordinates?

Thanks!