偏积分微分方程的理论与数值分析
变指标分数阶微分方程的数值分析
1. Wenlin Qiu , Tao Guo , Yiqun Li , Xu Guo and Xiangcheng Zheng. A multiscale Abel kernel and application in viscoelastic problem. Communications in Mathematical Sciences, 2026.
2. Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for subdiffusion problem with non-positive memory. Calcolo, 62, 39, 2025.
3. Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for high-order methods for variable-exponent fractional diffusion-wave equation. Journal of Scientific Computing, 105, 53, 2025.
4. Tao Guo , Yiqun Li and Wenlin Qiu*. Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping. Applied Numerical Mathematics, 219, 1-18, 2025.
5. Yingwen Guo and Wenlin Qiu*. First-order long-time convergence of fully discrete methods for viscoelastic flow with tempered power-law kernel. Physics of Fluids, 37, 1-14, 2025.
6. Wenlin Qiu , Xiangcheng Zheng and Kassem Mustapha. Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. Applied Numerical Mathematics, 213, 61-76, 2025.
7. Xiangyi Peng , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. Temporal second-order fast finite difference/compact difference schemes for time-fractional generalized Burgers' equations. Journal of Scientific Computing, 99, 52, 2024.
8. Wenlin Qiu , Yiqun Li and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. Calcolo, 61, 50, 2024.
9. Wenlin Qiu. Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. Advances in Computational Mathematics, 49, 43, 2023.
10. Wenlin Qiu et al.. Numerical investigation of generalized tempered-type integrodifferential equations with respect to another function. Fractional Calculus and Applied Analysis, 26, 2580-2601, 2023.
11. Wenlin Qiu , Graeme Fairweather , Xuehua Yang and Haixiang Zhang. ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. Calcolo, 60, 41, 2023.
12. Hao Chen , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. Calcolo, 60, 13, 2023.
13. Tao Guo , Omid Nikan , Wenlin Qiu* and Da Xu. Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. Communications in Nonlinear Science and Numerical Simulation, 117, 106989, 2023.
14. Wenlin Qiu et al.. Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. Communications in Nonlinear Science and Numerical Simulation, 116, 106804, 2023.
15. Wenlin Qiu et al.. The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Applied Numerical Mathematics, 159, 239-258, 2021.
1. 具有非线性-非局部阻尼的双曲积分微分方程的计算与应用, 2024-09-01, 在研, 国家资助博士后研究人员计划C档，主持
2. 非局部发展问题的深度学习方法研究-2024-03-20, 结题, 湖南省研究生科研创新(重点)项目，主持
