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(Solved): (b) Show that the region of absolute stability of the modified Euler's method u_(n+1)=u_(n)+hf(t_(n ...
(b) Show that the region of absolute stability of the modified Euler's method
u_(n+1)=u_(n)+hf(t_(n)+(h)/(2),u_(n)+(h)/(2)f_(n))is the region in the complex plane where
|1+z+(z^(2))/(2)|<1, where
z=h\lambda inC.
