Question regarding xmesh option in pdepe solver

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Deepa Maheshvare
Deepa Maheshvare 2019-1-1
评论： Deepa Maheshvare 2019-1-2
The command xmesh is given as an input to the pdepe solver.
For example
xmesh = 1:1:10
Does this mean the solver internally sets the spacial discretization = xmesh (if no, how is the spacial direction dicretized?)/
Is it just the points at which solution is output?
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Torsten
Torsten 2019-1-2
"pdepe" uses the method of lines to solve PDEs. Thus the spatial derivatives are approximated on the "xmesh" defined by the user. The resulting set of ordinary differential equations in time is solved by ODE15S, a general ODE integrator. Thus the "tmesh" you prescribe is only used for outputting purposes. Time integration is done adaptively - the temporal mesh can only be influenced indirectly by the user via the choice of RelTol and AbsTol.

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