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math.NA2025
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal strong damping
Tao Guo, Yiqun Li, Wenlin Qiu
We investigate the numerical approximation to the Euler-Bernoulli (E-B) beams and plates with nonlinear nonlocal strong damping, which describes the damped mechanical behavior of b…
math.NA2024
A multiscale Abel kernel and application in viscoelastic problem
Wenlin Qiu, Tao Guo, Yiqun Li +2
We consider the variable-exponent Abel kernel and demonstrate its multiscale nature in modeling crossover dynamics from the initial quasi-exponential behavior to long-term power-la…
math.NA2024
Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis and computation
Xiangcheng Zheng, Yiqun Li, Wenlin Qiu
We propose a local modification of the standard subdiffusion model by introducing the initial Fickian diffusion, which results in a multiscale diffusion model. The developed model…