whether meshes affect computational step lengths in pdepe

1 次查看（过去 30 天）
feynman feynman
feynman feynman 2024-1-19
编辑： Torsten 2024-1-20
In pdepe the user specifies an xmesh and tmesh. Do these meshes affect what meshes and computational step lengths adopted by the solver and hence the error? In other words are the computational step lengths self adaptive as in ode23 etc?

请先登录，再回答此问题。

采纳的回答

Torsten
Torsten 2024-1-19
编辑：Torsten 2024-1-19
Adaptive in x: no. Adaptive in t: yes. Thus the x-mesh affects computational accuracy, the t-mesh not. The accuracy in t is influenced as usual by the relative and absolute tolerances in the "odeset".
  4 个评论
显示 2更早的评论
feynman feynman
feynman feynman 2024-1-20
Maybe you are talking about accuracy rather than convergence? As I understand it spatial discretization affects accuracy but not convergence. To have two spatial discretization points over 100 m won't yield divergence if a fine mesh is convergent.
Torsten
Torsten 2024-1-20
编辑：Torsten 2024-1-20
A complicated profile of a function can only be reconstructed by its spatial derivatives if there are enough supporting points. Thus convergence to the solution of a complicated function can only be achieved if the x-mesh is chosen fine enough.

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Ordinary Differential Equations 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by