Abstract：The paper improved the following methods: single-point sub-domain integration for parabolic equation presented by Zhong Sixie and arbitrary difference for temperature field problem presented by Qiang Shizhong,presented a arbitrary difference precise integration (ADPI)algorithm of wave equation. The formula of ADPI is theoretically deduced and its realization way is given in the paper; the space and time resolution and the stability of difference format are discussed theoretically and proved in real case. The theoretical analysis and real cases showed the high precision of the presented method in the paper. The presented seismic forward modeling cases showed that the method is suitable for complex near-surface and structural geologic body.
