A naive question regarding MATLABs definition of parabolic/elliptical PDEs (pdepe)
This is a shortly put question, and possibly very obvious, but MATLAB says in the documentation of pdepe (here) that is solves 1D parabolic and elliptical PDEs. However, any definition I’ve come across for PDEs’ conic classification holds that the coefficients in the PDE expansion should be constant, i.e.
where
For pdepe these coefficients are functions however. How does MATLAB classify them as parabolic or elliptical if the coefficients are variable? Is it that it must follow the inequality below?This is a shortly put question, and possibly very obvious, but MATLAB says in the documentation of pdepe (here) that is solves 1D parabolic and elliptical PDEs. However, any definition I’ve come across for PDEs’ conic classification holds that the coefficients in the PDE expansion should be constant, i.e.
where
For pdepe these coefficients are functions however. How does MATLAB classify them as parabolic or elliptical if the coefficients are variable? Is it that it must follow the inequality below? This is a shortly put question, and possibly very obvious, but MATLAB says in the documentation of pdepe (here) that is solves 1D parabolic and elliptical PDEs. However, any definition I’ve come across for PDEs’ conic classification holds that the coefficients in the PDE expansion should be constant, i.e.
where
For pdepe these coefficients are functions however. How does MATLAB classify them as parabolic or elliptical if the coefficients are variable? Is it that it must follow the inequality below? mathematics MATLAB Answers — New Questions