# Nonlinear Parabolic Equation

**URL:** https://community.freefem.org/t/nonlinear-parabolic-equation/4063
**Category:** General Discussion
**Created:** [September 11, 2025, 1:46pm UTC](https://community.freefem.org/t/nonlinear-parabolic-equation/4063 "2025-09-11T13:46:52Z")
**Posts on this page:** 2
**Page:** 1

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### Author: ![ds2201](https://avatars.discourse-cdn.com/v4/letter/d/48db29/32.png) [@ds2201](https://community.freefem.org/u/ds2201)
#### Post date: [September 11, 2025, 1:46pm UTC](https://community.freefem.org/t/nonlinear-parabolic-equation/4063/1 "2025-09-11T13:46:52Z")

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Hi,

I am trying to solve the nonlinear parabolic equation with non homogeneous Dirichlet boundary condition.

 ![2](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/6/6cccb48330bc9c4f97d7e63a419cb637329362c3.png)

I am trying to solve it with following fully discrete DG scheme

 ![3](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/7/7d5ce6d54663a79df0b4d09feb29e11d5287aec8.png)

where

 ![New](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/4/489873285da223e6e18e41b1988071052c2ccb51.png)

I am attaching my code here. Please help me with this as I am getting error

[DG.edp](https://community.freefem.org/uploads/short-url/o9EjkR4ullnSbUd2x3DlX3tm8s0.edp) (2.3 KB)

.

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<div class="post-metadata">

### Author: ![fb77](https://yyz2.discourse-cdn.com/flex030/user_avatar/community.freefem.org/fb77/32/3796_2.png) [@fb77](https://community.freefem.org/u/fb77)
#### Post date: [September 15, 2025, 9:48am UTC](https://community.freefem.org/t/nonlinear-parabolic-equation/4063/2 "2025-09-15T09:48:30Z")

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The error message says “Sorry, no jump, mean, otherside in bilinear term must be in integral of type intalledges, intallVFedges or intallfaces”. Indeed you cannot use “jump” in an “int1d” term.

Thus in the int1d you have to put explicitly what you mean by jump(u). Is it just “u” (value from the inside of the domain) ?