1、2023.01-2025.12，分数阶非线性薛定谔方程的奇异初边值问题研究，国家自然科学青年基金，编号：12201485，主持，在研。

2、2021.01-2022.12，高维非线性时空分数阶薛定谔方程及其耦合系统的高精度算法研究，陕西省科技厅一般项目（青年），编号：2021JQ-496，主持，结题。

3、2021.01-2022.12，高维分数阶非线性色散方程的高效数值算法研究，陕西省教育厅科研专项，编号：21JK0735，主持，结题。

4、2023.01-2024.12，肿瘤生长自由边界问题及预测系统研究，陕西省科技厅一般项目-社会发展领域，编号：2023-YBSF-372，参与，在研。

5、2024.01-2025.12， 纳米纤维机理和数据融合的多尺度可计算建模与模拟，陕西省科技厅（面上项目）, 编号2024JC-YBMS-006, 参与，在研。

6、2024.01-2025.12，高维肿瘤生长自由边界问题及基因突变演化模型研究，陕西省教育厅，陕西数理基础科学研究项目，编号23JSQ042，参与，在研

1. Ying Wang, Gang Wang*, Yue Shen, “A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh,” Computers and Mathematics with Applications, 131: 124-137, 2023. (SCI)

2. Ying Wang, Gang Wang*, Feng Wang, “An adaptive virtual element method for incompressible flow,” Computers and Mathematics with Applications, 101: 63-73, 2021. (SCI)

3. Ying Wang, Gang Wang, Linlin Bu, Liquan Mei*, “Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation,” Numerical Algorithms, 88:419-451,2021. (SCI)

4. Ying Wang, Fawang Liu*, Liquan Mei, Vo Anh, “A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions,” Numerical Algorithms, 86:1443-1474,2021. (SCI)

5. Ying Wang, Gang Wang*, “A least-squares virtual element method for second-order elliptic problems,” Computers and Mathematics with Applications, 80: 1873-1886, 2020. (SCI)

6. Ying Wang, Qi Li, Liquan Mei*, “A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations,” Applied Mathematics Letters, 95: 104-113, 2019. (SCI)

7. Ying Wang, Liquan Mei*, Qi Li, Linlin Bu, “Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation, Applied Numerical Mathematics,” 136: 257-278, 2019. (SCI)

8. Ying Wang, Liquan Mei*, “A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations,” International Journal of Computer Mathematics, 96(12): 2387–2410, 2019. (SCI)

9. Ying Wang, Liquan Mei*, “Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation,” Advances in Difference Equations, 2017(1): 281, 2017. (SCI)