MATLAB: Plotting a colored surface in 2D

2d plotcontoursurface

Dear experts,

I have two vectors: x and y, and a function u(x,y) representing the temperature in the point (x,y). I want to see different temperatures as different colors, in the XY plane (see an example in the attached picture). i.e.- u will be given as color in the XY plane.

Will someone please help me understand what is the appropriate method to use in order to obtain such a plot?

Thanks in advance

Best Answer

Look at this example

x=1:0.1:4
y=1:0.1:4
[X,Y]=meshgrid(x,y)
Z=sin(X).^2+cos(Y).^2
surf(X,Y,Z)
view(2)

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MATLAB: Contour plot for given x,y,z


[num,txt,raw] = xlsread('Book1.xlsx') ; 
x = num(:,1) ; 
y = num(:,2) ; 
z = num(:,3) ; 
figure(1)
scatter(x,y,20,z,'filled') ; colorbar
%% Method 1 / Griddata
nx = 500 ; ny = 500 ;
[X,Y] = meshgrid(linspace(min(x),max(x),nx),linspace(min(y),max(y),ny)) ;
Z =griddata(x,y,z,X,Y) ;
figure(2)
contour(X,Y,Z) ;
figure(3)
pcolor(X,Y,Z)
shading interp 
%% Method 2 simple reshaping 
x = unique(x) ; nx = length(x) ;
y = unique(y) ; ny = length(y) ;
Z = reshape(z,ny,nx) ;
figure(4)
contour(x,y,Z)

MATLAB: How to solve a first order partial differential equation

u(x,y) = x + x^2*y + cosh(y)

Best Answer

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MATLAB: Contour plot for given x,y,z

MATLAB: How to solve a first order partial differential equation

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