Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
#Solving Half Range Expansions L = var('L') f = x plot(f,(x,0,10)) assume(L>0) c(x) = 0 s(x) = 0 for n in range(1,5): an = integrate((2*f(x)*cos((n*pi*x)/L))/L, (x,0,L)) #Even Periodic Extension bn = integrate((2*f(x)*sin((n*pi*x)/L))/L, (x,0,L)) #Odd Periodic Extension c(x) = c(x) + an*cos((n*pi*x)/L) s(x) = s(x) + bn*sin((n*pi*x)/L) print 'The half range Cosine expansion' print c(x), print "+..." print 'The half range Sine expansion' print s(x), print "+..."
* Solution by:
- Arnab Basu, Student, IIT Roorkee
- Amit Tewari, Student, IIT Roorkee
- Rachit Jha, Student, IIT Roorkee
- Shubham Mittal, Student, IIT Roorkee