主要从事微分方程及其应用方面的研究工作；应用方面主要涉及油藏渗流和页岩气开发水平井水力压裂返排污染这两个方面。

1.近年来主持或参与的科研项目:

[1] 2018-2019年，国家级重点实验室开放基金项目，“页岩气开发过程水污染数学模型及算法研究”。

[2] 2017年-至今，四川省国际合作项目（2017HH0014）“页岩气开发污染数值模拟及应用研究”。

[3] 2017-2018年，中国石油天然气股份有限公司长庆油田分公司（第四采油厂）（经管D017）“绥靖油田油藏经营管理评价模型的建立与应用探讨”。

[4] 2016-2018年，四川省应用基础重大前沿项目（16JC0314)）“页岩气开发机理动态模拟及其区块污染最优控制”。

[5] 2015-2016年，中国石化股份胜利油田分公司项目（YKY1501）“特高含水期微观剩余油临界启动条件研究”。

2.近年来发表的部分学术论文:

[1]   Xiaoxu Dong, Ying Liang, Yu Wang, Yu Peng, Zheng Zeng.Study on the Definite Solution Problems for Systems of Partial Differential Equations under Elastic External Boundary Condition of Polynomial Function Type and Application in Composite Reservoir [J]. Computational Mathematics and Mathematical Physics, 2025, 65(4):840-856. (SCI-收录)

[2]   Xiaoxu Dong, Yu Peng, Wenjing Li, Ying Liang, Yu Wang and Zheng Zeng. Application of Polynomial Type Elastic Outer Boundary Conditions in Fractal Composite Reservoir Seepage Model [J]. Computers and Geosciences, 194 (2025), 105764. (SCI-收录)

[3] Xiaoxu Dong, Qun Liu, Wenjing Li, Zheng Zeng, Shunchu Li, Xing Xia. Elastic transformation and its inverse transformation for solving one-order and third-order nonlinear variable coefficient ordinary differential equations [J]. Rocky Mountain Journal of Mathematics, 2023,53(2): 417-434.(SCI-收录)

[4] Xiaoxu Dong, Wenjing Li*, Qun Liu, Zheng Zeng. Research on the Convection-Reaction-Diffusion Model of Contaminants in Fracturing Flowback Fluid in Non-Equidistant Artificial Fractures with Arbitrary Inclination in (3+1)-Dimensional Space-Time [J].ACS Omega, 2023, 8(20): 17901–17921. (SCI收录)

[5] Xiaoxu Dong, Wenjing Li, Qun Liu，Hehua Wang. Research on convection-reaction-diffusion model of contaminants in fracturing flowback fluid in non-equidistant fractures with arbitrary inclination of shale gas development [J]. JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2022, 208. (SCI收录)

[6] Xiaoxu Dong, Shunchu Li, Zhibin Liu，Hehua Wang. Similar Constructing Method and Gaver-Stehfest Numerical Inversion Equation for Solving the Composite Reservoir Models Under Three Outer Boundary Conditions[J]. Arabian Journal for Science and Engineering, 2021, (SCI-收录)

[7] Zhibin Liu (导师), Xiaoxu Dong, Lin Chen, Chao Min, Xuecheng Zheng. Numerical simulation of recovered water flow and contaminants diffusion in the wellbore of shale gas horizontal wells[J]. Environmental Earth Sciences, 2020, 79(6):128. (SCI-收录)

[8] Xiaoxu Dong *, Zhibin Liu， Shunchu Li. Similar constructing method for solving nonhomogeneous mixed boundary value problem of n-interval composite ode and its application[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42(5):1702-1723. (SCI-收录)

[9] Xiaoxu Dong *， Zhibin Liu， Shunchu Li. Similar constructing method for solving nonlinear spherical seepage model with quadratic pressure gradient of three-region composite fractal reservoir[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38(2). (SCI-收录)

[10] Zhibin Liu (导师), Xiaoxu Dong (通信作者), Chao Min. Transient Analysis of Contaminant Diffusion in the Wellbore of Shale Gas Horizontal Wells[J]. Water Air & Soil Pollution, 2018, 229(7):221. （SCI-收录）

[11] Mingming Kong, Xiaoxu Dong(通信作者). The Similar Structure Method for Solving Boundary Value Problems of a Three Region Composite Bessel Equation [J]. International Journal of Simulation: Systems, Science and Technology, 2016, 17(29), 28.1-28.8.（EI-20171503558003）

[12] Yong Wang, Xiaoxu Dong(通信作者), Shunchu Li. Study on how to resolve the boundary value problem of three-region composite Thomson equation[J]. Journal of Computational Methods in Sciences and Engineering, 16 (2016), 111–124. (EI-20163902847503)

[13] Xiao-xu Dong, Shun-chu Li, Dong-dong Gui, Feng-jiu Zhang, Jun Lin, Chuan-Ping Wang. A study on solving the boundary value problem of three-region composite second-order linear homogeneous ODE [J]. Energy Education Science and Technology Part A: Energy Science and Research, 2014, Vol.32(6):6035-6048.( EI-20152500946543)

[14] Xiao-xu Dong, Shun-chu Li, Dong-dong Gui, Feng-jiu Zhang. A Study on Sloving Flow Model of Three-Area Composite Reservoir [J].Applied Mechanics and Materials, Vol.670-671(2014)pp599-603.（EI-20150300428815）

[15] Hong-E LI, Xiao-Xu DONG(通信作者), Shun-Chu LI, Dong-Dong GUI, Cong-Yin FAN. A New Method and Applications of the Boundary Value Problem of Differential Equation [J]. Advanced Materials Research, Vol. 937 (2014) pp 695-699. （EI-20142417801110）

离散数学、离散数学C、特殊函数、概率论与数理统计，线性代数