Approximate Solutions of a Functional Differential Equation
Approximate Solutions of a Functional Differential Equation
This Demonstration shows Fourier approximations of the solution of the functional differential equation of advanced type, =((ax+1)-(ax-1)), where and the support of is . The Fourier approximation is (x,n,m)=+cos(πkx).
h
a
h
a
2
a
2
h
a
h
a
a>1
h
a
-,
1
a-1
1
a-1
h
a
1
2
n
∑
k=1
m
∏
i=1
sin(k(a-1)π)
-i
2
k(a-1)π
-i
2