I think nobody has solution for this stability pro

October 30, 2002, 07:03

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, 10:52

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, 02:23

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

October 31, 2002, 08:16

Have a look at

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

October 30, 2002, 07:03	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, 10:52	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, 02:23	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, 08:16	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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