MATLAB: What does it mean plotAlongY(p,u,0) in “Nonlinear Heat Transfer in a Thin Plate” example

pde toolbox

Why there is no explanation about plotAlongY(p,u,0) definition in Matlab PDE Toolbox guide? And there is no easy way to plot u-solution versus x or y? How to plot u-solution versus x or y other than using plotAlongY?

Best Answer

If you have the toolbox, you can execute

edit plotAlongY

to see how the function is programmed. Feel free to extend it however you wish.

If you have a recent toolbox version, you can use pdeInterpolant or interpolateSolution. See the function reference pages, or even plot 3-D solutions for ideas.

Alan Weiss

MATLAB mathematical toolbox documentation

Related Solutions

MATLAB: Manipulating matrix in particular columns

final_result = {
'Genes'      'T0&T2'    'T1&T3'    'T2&T4'    'T3&T5'    'T4&T6'
'YAR029W'    'dd'       'uu'       'dd'       'uu'       'du'
'YBL095W'    'du'       'ud'       'ud'       'du'       'du'
'YBL111C'    'uu'       'uu'       'ud'       'ud'       'du'
'YBL113C'    'uu'       'uu'       'uu'       'ud'       'ud'
'YBR096W'    'uu'       'uu'       'ud'       'ud'       'dd'
'YBR138C'    'ud'       'ud'       'ud'       'du'       'du' };
final = {
'YAR029W'    'd'     []    'd'     []    'd'
'YBL095W'    'd'     []     []    'd'    'd'
'YBL111C'    'u'    'u'    'u'    'u'     []
'YBL113C'    'u'    'u'    'u'    'u'    'u'
'YBR096W'    'u'    'u'    'u'    'u'     []
'YBR138C'    'd'     []     []    'd'    'd'};
n = ~cellfun(@isempty,final(:,2:end));
fnl = arrayfun(@(x)final_result([1,x+1:end],[true,n(x,:)]),(1:size(n,1))','un',0);

MATLAB: How to used data exported from the PDE toolbox in order to create specific XY plots

Depending on your toolbox version, there are differing ways to plot things. If you have a relatively recent version, then use Plot 2-D Solutions and their Gradients, especially the latter part of the example, which shows how to interpolate the results to a straight line segment.

If you are using an old toolbox version where you have to use a [p e t] representation of the mesh, then you can use pdeInterpolant to create an interpolant, and use evaluate to create the interpolated values. The evaluate function reference page has several examples.