# I think nobody has solution for this stability pro

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 October 30, 2002, 08:03 I think nobody has solution for this stability pro #1 student Guest   Posts: n/a Hai everyone I have partial differential equation of type del_U/del_t=t-(1+(del_U/del_x)^2)^0.5. now to get for neumann analysis using fourier series thanks in advance i want to use explicit finite difference scheme. U is function of x and t How can I fix the delta t and delta x for this above example. thanks student

 October 30, 2002, 11:52 Re: I think nobody has solution for this stability #2 Markus Lummer Guest   Posts: n/a You are considering a nonlinear PDE. v. Neumann stability analysis applies only to linear PDE's. Therefore you have to linearize this problem appropriately or to apply nonlinear stability analyis (which is MUCH more complicated). Best regards Markus

 October 31, 2002, 03:23 Re: I think nobody has solution for this stability #3 student Guest   Posts: n/a can you refer some books for the non linear nemann analysis. bye

 October 31, 2002, 09:16 Re: I think nobody has solution for this stability #4 Markus Lummer Guest   Posts: n/a Have a look at http://lec.ugr.es/~julyan/papers/rkpaper/root.html

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