# How to solve the 2D nonlinear problem having time-dependent BCs

**URL:** <https://community.freefem.org/t/how-to-solve-the-2d-nonlinear-problem-having-time-dependent-bcs/4110>\
**Category:** General Discussion\
**Created:** [October 23, 2025, 9:50am UTC](https://community.freefem.org/t/how-to-solve-the-2d-nonlinear-problem-having-time-dependent-bcs/4110 "2025-10-23T09:50:51Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![M\_Usman](https://avatars.discourse-cdn.com/v4/letter/m/e5b9ba/32.png) [@M\_Usman](https://community.freefem.org/u/M_Usman)\
**Post date:** [October 23, 2025, 9:50am UTC](https://community.freefem.org/t/how-to-solve-the-2d-nonlinear-problem-having-time-dependent-bcs/4110/1 "2025-10-23T09:50:51Z")

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Hi,

I hope everyone is doing well. I want to compute the numerical solution of the following problem which have time-dependent boundary conditions.

 ![image](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/7/78ab525df3764044ec3ab5f9315c9aa1110c4792.png)