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wdkyl

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For[j = 1, j <= n + 1, j++,
  For[i = 1, i < 400, i++,
   x1 = I 2 mu Sin[omiga i h] Sum[
       y[[b, i]] Exp[-I (rh[] - rh[[j]]) i h] Sum[(-n/2 + a - 1) g[
            j][[a]] g[[a]], {a, 1, n + 1}], {b, 1, n + 1}] // N;
   x2 = I 2 mu Sin[
       omiga (i + 0.5) h] Sum[(y[[b, i]] +
          0.5 h x1) Exp[-I (rh[] - rh[[j]]) (i +
            0.5) h] Sum[(-n/2 + a - 1) g[j][[a]] g[[a]], {a, 1,
          n + 1}], {b, 1, n + 1}] // N;
   x3 = I 2 mu Sin[
       omiga (i + 0.5) h] Sum[(y[[b, i]] +
          0.5 h x2) Exp[-I (rh[] - rh[[j]]) (i +
            0.5) h] Sum[(-n/2 + a - 1) g[j][[a]] g[[a]], {a, 1,
          n + 1}], {b, 1, n + 1}] // N;
   x4 = I 2 mu Sin[
       omiga (i + 1) h] Sum[(y[[b, i]] +
          h x3) Exp[-I (rh[] - rh[[j]]) (i + 1) h] Sum[(-n/2 + a -
            1) g[j][[a]] g[[a]], {a, 1, n + 1}], {b, 1, n + 1}] //
     N;
   y[[j, i + 1]] = y[[j, i]] + h/6 (x1 + 2 x2 + 2 x3 + x4 ) // N]];
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