Interpolation of the results from the PDE toolbox and the spatial differentiation of the solution

Question

Khalid Ibne Masood 2020-7-13

0
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https://ww2.mathworks.cn/matlabcentral/answers/563930-interpolation-of-the-results-from-the-pde-toolbox-and-the-spatial-differentiation-of-the-solution

评论： Khalid Ibne Masood 2020-8-4

采纳的回答： Ravi Kumar

Hello,

I am trying to solve a PDE within a rectangular region with the Matlab PDE toolbox. I am facing two problems:

(1) As shown in the example, I can solve the PDE with the commands:

R = solvepde(model);

u = R.NodalSolution;

figure

pdeplot(model,'XYData',u,'Contour','on','ColorMap','jet')

However, I want the solution to be evaluated at the regular grid points, not at the nodes. How can I get the value of u at specific (x,y) points?

(2) I would also like to evaluate the spatial differentiation of the solution u, that is, I want to calculate du/dx and du/dy at the regular grid points. I can do it numerically, but I just want to do all the things directly from Matlab. Is there any command that can help me?

Thank you very much.

Khalid