How to reduce memory usage in a Haskell app?

I am new to functional programming, and now learn Haskell. As an exercise I decided to implement the explicit Euler method for 1D linear diffusion equation. While the code below works correctly, I am not happy about its performance. In fact, I am concerned with memory consumption. I believe that it is related to lazy evaluation, but cannot figure out how I can reduce its memory usage.

The idea of the algorithm is really simple, to make it clear in imperative terms: it takes an `array', and to every inner point it adds a value, which is calculated as a combination of the values in the point itself and in its neighbors. Boundary points are special cases.

So, this is my Euler1D.hs module:

module Euler1D
( stepEuler
, makeu0
) where

-- impose zero flux condition
zeroflux :: (Floating a) => a -> [a] -> [a]
zeroflux mu (boundary:inner:xs) = [boundary+mu*2*(inner-boundary)]

-- one step of integration
stepEuler :: (Floating a) => a -> [a] -> [a]
stepEuler mu u@(x:xs) = (applyBC . (diffused mu)) u
    where
          diffused mu (left:x:[]) = []    -- ignore outer points
          diffused mu (left:x:right:xs) = -- integrate inner points
                   (x+mu*(left+right-2*x)) : diffused mu (x:right:xs)
          applyBC inner = (lbc u') ++ inner ++ (rbc u') -- boundary conditions
               where u' = [head u] ++ inner ++ [last u]
                     lbc = zeroflux mu             -- left boundary
                     rbc = (zeroflux mu) . reverse -- right boundary

-- initial condition
makeu0 :: Int -> [Double]
makeu0 n = [ ((^2) . sin . (pi*) . xi) x | x <- [0..n]]
    where xi x = fromIntegral x / fromIntegral n

And a simple Main.hs:

module Main where

import System ( getArgs )
import Euler1D

main = do
      args <- getArgs
      let n = read $ head args :: Int
      let u0 = makeu0 n
      let un = stepEuler 0.5 u0
      putStrLn $ show $ sum un

Fo