Yes, I did manage to understand it from this reference Viktor Grigoryan, "Partial Differential Equations" . I also implemented a simple homogeneous variant of it in this PR. By the way, I also tried to factor out the common code in a separate utils.py.
https://github.com/sympy/sympy/pull/1970 It would be really nice if you could review it or comment whenever you get the time. On Sun, Apr 7, 2013 at 5:27 AM, Aaron Meurer <[email protected]> wrote: > Did you solve this? Looking back at the book I used when I took PDEs > (Zauderer) I think you are talking about the method of > characteristics. It looks like the solution should be > > dx/ds = a, dx/ds = b, dF/ds = c (note that the right-hand side can > actually be c*F + d, in which case the third equation is dF/ds = c*F + > d). Here we consider x and y to be functions of the new parameter s. > There is also some work to invert the solution to solve for s and > another parameter tau. See page 66-67 of Zauderer ("Partial > Differential Equations of Applied Mathematics"), or some similar > reference (p.s., I mention this book because it's the one that I used, > but I don't actually recommend it as it is chalk full of typos as I > recall). > > Aaron Meurer > > On Wed, Apr 3, 2013 at 9:16 AM, Manoj Kumar > <[email protected]> wrote: > > I'm sorry if it was ambiguous. I just saw something similar to that in > the > > paper I had mentioned. My interpretation most probably is completely > wrong, > > However I do seemed to have figured out the way it is supposed to be done > > with the help of Google. > > > > Cheers > > -- > > Regards, > > Manoj Kumar, > > Mech Undergrad. > > BPGC > > Blog > > > > -- > > You received this message because you are subscribed to the Google Groups > > "sympy" group. > > To unsubscribe from this group and stop receiving emails from it, send an > > email to [email protected]. > > To post to this group, send email to [email protected]. > > Visit this group at http://groups.google.com/group/sympy?hl=en-US. > > For more options, visit https://groups.google.com/groups/opt_out. > > > > > > -- > You received this message because you are subscribed to a topic in the > Google Groups "sympy" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/sympy/X2EjQvwv7uE/unsubscribe?hl=en-US. > To unsubscribe from this group and all its topics, send an email to > [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy?hl=en-US. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- Regards, Manoj Kumar, Mech Undergrad. BPGC Blog <http://manojbits.wordpress.com> -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
