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Approximate Solutions of a Functional Differential Equation

​
a
1.5
factors in product m
1
terms in sum n
5
This Demonstration shows Fourier approximations of the solution
h
a
of the functional differential equation of advanced type,
h
a
=
2
a
2
(
h
a
(ax+1)-
h
a
(ax-1))
, where
a>1
and the support of
h
a
is
-
1
a-1
,
1
a-1
. The Fourier approximation is
h
a
(x,n,m)=
1
2
+
n
∑
k=1
cos(πkx)
m
∏
i=1
sin(k(a-1)π
-i
2
)
k(a-1)π
-i
2
.
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