The probability estimate method of SLWE can adapt to the non-stationary data. In order to expand its application in entropy coding and code non-stationary data more effectively, an application scheme of SLWE in the range coding is designed. Firstly, to tackle the problem how to map the estimated probability by SLWE to the coding interval, instead of calculating the update probability, we propose to update the range of every character directly based on the idea of SLWE and then adjust the total range according to the computing method of the upper and lower range bounds for range encoding. It not noly combines the advantage of SLWE to cope with the non-stationary data, but also avoids the probability calculation. In addition, the coding range after the update for every character may be less than 1, which causes the loss of the character. To solve this problem, we present a control method to set the minimum range of each character. Experimental results for non-stationary data coding show that the SLWE-based range coder achieves 1%~5% higher than that using traditional probability estimation (e. g. windowing method) in terms of compression ratio.