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I think nobody has solution for this stability pro

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Old   October 30, 2002, 08:03
Default I think nobody has solution for this stability pro
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student
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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
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Old   October 30, 2002, 11:52
Default Re: I think nobody has solution for this stability
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Markus Lummer
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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
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Old   October 31, 2002, 03:23
Default Re: I think nobody has solution for this stability
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student
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can you refer some books for the non linear nemann analysis. bye
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Old   October 31, 2002, 09:16
Default Re: I think nobody has solution for this stability
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Markus Lummer
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Have a look at

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