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Compared with the traditional method of source number estimation , the source number estimation based on the eigenvalue-difference method has the advantage of less computational complexity, but because of the poor performance at low SNR and the unstable effects under color noise, etc. Various shortcomings make it have not been applied in practice. This paper analyzes the influence of the dispersion of eigenvalues on the estimation of the eigenvalue-difference method, proposes a method to improve the divergence of eigenvalues based on logarithmic functions, and uses the fitted eigenvalues to estimate the source number. The algorithm greatly reduces the difference between the adjacent source eigenvalues, makes the difference between the source eigenvalue and the noise eigenvalue more obvious, greatly improves the estimation performance of the eigenvalue-difference method, and guarantees the smaller amount of operations. Experimental simulations show that the proposed method can perform stable estimation under both white noise and color noise, and still has the advantage of good performance under low signal-to-noise ratio and low-speed shots.