MATLAB: In PDE solution, how to get the nodal data varying with time

data extraction from the solution in matlabpde solution

In PDE solution, how to get the nodal data varying with time for example temperature against time and is there any way to look up the data in the pde toolbox?

Best Answer

Hi Ghulam,

If you have solved a time dependent problem then you can lookup the temperature vs time. Take a look at this feature example: http://www.mathworks.com/help/pde/examples/inhomogeneous-heat-equation-on-a-square-domain.html

Ravi

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MATLAB: Can I solve the radial heat equation with lateral heat diffusion using the PDEPE function

Radial heat equation with lateral heat diffusion would be a BVP(Boundary Value Problem) in multiple dimensions, but PDEPE function solves boundary value problems in one dimension.

PDEPE is therefore not suited to this type of problem, as there are too many edge and boundary conditions to convert the PDE to one-dimensional. Approximating this PDE to be one-dimensional would force discontinuities at the boundary edges.

To work around this issue, use the PDE Toolbox to solve this initial-boundary value problem.

MATLAB: Evaluating Time Dependent PDE Results at Nodal Solutions

Nevermind - I figured this one out.

I used the findNodes function to acquire all of the nodes on the specified face of my geometry then used results.NodalSolutions to calculate the values at a specific time at the nodes within the specified face.

Nf2 = findNodes(msh,'region','Face',2);
values = result.NodalSolution(Nf2,3600);

Best Answer

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MATLAB: Can I solve the radial heat equation with lateral heat diffusion using the PDEPE function

MATLAB: Evaluating Time Dependent PDE Results at Nodal Solutions

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