June 2018 Update

This commit is contained in:
Ingy döt Net 2018-06-22 20:57:24 +00:00
parent ba8067c3b7
commit 22f33d4004
5278 changed files with 84726 additions and 14379 deletions

View file

@ -1,16 +1,16 @@
euler(f,T,t0,t1,h)=[(T,T+=h*f(T))[1] for t=t0:h:t1]
euler(f::Function, T::Number, t0::Int, t1::Int, h::Int) = collect(begin T += h * f(T); T end for t in t0:h:t1)
# Prints a series of arbitrary values in a tabular form, left aligned in cells with a given width
tabular(width,cells...)=println(join(map(s->rpad(s,width),cells),""))
tabular(width, cells...) = println(join(map(s -> rpad(s, width), cells)))
# prints the table according to the task description for h=5 and 10 sec
for h=(5,10)
print("Step $h:\n\n")
tabular(15,"Time","Euler","Analytic")
t=0
for T=euler(y->-0.07*(y-20.0),100.0,0,100,h)
tabular(15,t,round(T,6),round(20.0+80.0*exp(-0.07*t),6))
t+=h
end
println()
for h in (5, 10)
print("Step $h:\n\n")
tabular(15, "Time", "Euler", "Analytic")
t = 0
for T in euler(y -> -0.07 * (y - 20.0), 100.0, 0, 100, h)
tabular(15, t, round(T,6), round(20.0 + 80.0 * exp(-0.07t), 6))
t += h
end
println()
end