I think nobody has solution for this stability pro
 

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

Re: I think nobody has solution for this stability
 

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

Re: I think nobody has solution for this stability
 

can you refer some books for the non linear nemann analysis. bye

Re: I think nobody has solution for this stability
 

Have a look at

http://lec.ugr.es/~julyan/papers/rkpaper/root.html