# 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, , where and the support of is . The Fourier approximation is .

h

a

h=(h(ax+1)-h(ax-1))

'

a

a

2

2

a

a

a>1

h

a

-,

1

a-1

1

a-1

h(x,n,m)=+∑cos(πkx)∏

a

1

2

n

k=1

m

i=1

sin(k(a-1)π2)

-i

k(a-1)π2

-i