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Question: maple

Question:maple

devi 12
May 08 2009
0

 

Hi,

I have an equation
y = b*sech(b*acosh(1/x))*tanh(b*acosh(1/x))/(sqrt((1/x)-1)*sqrt(1+(1/x))*(x^2));

where b varies from 2 to 101,as b = M+1 ; M varies from 1 : 100
x = 1.001:0.001:1.01

The problem is I am simulating a chain network with M routers.For M =1 and 2 that is b = 2 and 3 the analytical and simulated results are almost concordant with 4 and 9 respectively which are the limits.But when I increase the b values they tend to hit numerical stability issues and lose accuracy.

How do I overcome this.I need help to compute the limits analytically using  maple.

Thanks
devi
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