抄録
Numerical solutions and an error estimation formula for gap ys between an island with size s and another island in one-dimensional submonolayer growth are presented. The origin of the error is assumed to be the numerical integral computation included in an equation for the ys. In order to evaluate the error for YM, which is the numerical approximation of ys, numerical integrations in the equation of ys are calculated with composite trapezoidal rule using 1/2M, M and 2M of number of equal divided interval. As a result, the error of the gap for M = 213 of the divided number is a onethird for the difference Ys M/2 Ys M . Similarly, the error for the numerical solution of the island size distribution Ns M is the 1/4.2 of Ns M/2 Ns M and was less than 7 × 10--9. My size-distribution result is compared to both the results of literature on the kinetic Monte-Carlo simulation and the rate equation.