# Stability of steady-state heat equation example for MethodOfLines.jl

**URL:** https://discourse.julialang.org/t/stability-of-steady-state-heat-equation-example-for-methodoflines-jl/98651
**Category:** Modelling & Simulations
**Tags:** pde
**Created:** [May 10, 2023, 11:25pm UTC](https://discourse.julialang.org/t/stability-of-steady-state-heat-equation-example-for-methodoflines-jl/98651 "2023-05-10T23:25:44Z")
**Posts on this page:** 1
**Showing post:** 12

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### Author: ![Eben60](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/eben60/32/13475_2.png) [@Eben60](https://discourse.julialang.org/u/Eben60)
#### Post date: [August 31, 2024, 4:14pm UTC](https://discourse.julialang.org/t/stability-of-steady-state-heat-equation-example-for-methodoflines-jl/98651/12 "2024-08-31T16:14:25Z")

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it’s the exactly same with `RobustMultiNewton` : Diverges at step 0.05 (exactly the same picture as here [MethodOfLines - numerical instability for example in docs](https://discourse.julialang.org/t/methodoflines-numerical-instability-for-example-in-docs/106359)), and hangs at 0.025 (Julia continues to run in the background even is I “trash” it in the VSCode)

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