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Why does this blow up?by rsq_a
Tags: blow 
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#1
Feb909, 08:33 AM

P: 110

I'm looking at the BVP:
[tex]y'' + ay' + e^{ax}y = 1[/tex], with y(0) = 0 and y(10) = 0. The numerical solution blows up at certain values of [tex]a[/tex]. For example, a near 0.089 and a near 0.2302. Why does this happen and how do I predict it? 


#2
Feb909, 08:44 AM

P: 110

[tex]y'' + ay' + e^{ax}y = 0\cdot u^* = 1[/tex], is a possible solution, and thus the eigenfunction [tex]u^* \to \infty[/tex] will cause the blowup. Is this correct? It's been a while since I've done SturmLiouville stuff. 


#3
Feb909, 07:17 PM

P: 22

What is x?



#4
Feb909, 07:18 PM

P: 110

Why does this blow up?



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