An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations. - Wenlin Qiu; Hongbin Chen 002; Xuan Zheng (Math. Comput. Simul., 2019)

An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation. - Huifa Jiang; Da Xu; Wenlin Qiu; Jun Zhou 019 (Comput. Appl. Math., 2020)

A Crank-Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity. - Xuan Zheng; Hongbin Chen 002; Wenlin Qiu (Comput. Appl. Math., 2020)

An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions. - Wenlin Qiu; Da Xu; Haifan Chen; Jing Guo (Comput. Math. Appl., 2020)

A backward Euler difference scheme for the integro-differential equations with the multi-term kernels. - Shufang Hu; Wenlin Qiu; Hongbin Chen 002 (Int. J. Comput. Math., 2020)

A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels. - Wenlin Qiu; Da Xu; Hongbin Chen 002 (Int. J. Comput. Math., 2020)

A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model. - Wenlin Qiu; Da Xu; Jing Guo; Jun Zhou 019 (Numer. Algorithms, 2020)

Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation. - Wenlin Qiu; Da Xu; Jing Guo (Appl. Math. Comput., 2021)

A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. - Leijie Qiao; Wenlin Qiu; Da Xu (Comput. Math. Appl., 2021)

An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation. - Xuehua Yang; Wenlin Qiu; Haixiang Zhang; Liang Tang (Comput. Math. Appl., 2021)

Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type. - Leijie Qiao; Jing Guo; Wenlin Qiu (Comput. Math. Appl., 2022)

An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation. - Jun Zhou 019; Da Xu; Wenlin Qiu; Leijie Qiao (Comput. Math. Appl., 2022)

A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. - Hao Chen; Mahmoud A. Zaky; Ahmed S. Hendy; Wenlin Qiu (CoRR, 2022)

Optimal error estimate of accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. - Wenlin Qiu (CoRR, 2022)

Global behavior of temporal discretizations for Volterra integrodifferential equations with certain nonsmooth kernels. - Wenlin Qiu (CoRR, 2022)

Numerical approximation based on deep convolutional neural network for high-dimensional fully nonlinear merged PDEs and 2BSDEs. - Xu Xiao; Wenlin Qiu (CoRR, 2022)

High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation. - Leijie Qiao; Bo Tang; Da Xu; Wenlin Qiu (Int. J. Comput. Math., 2022)

An efficient Sinc-collocation method via the DE transformation for eighth-order boundary value problems. - Wenlin Qiu; Da Xu; Jun Zhou 019; Jing Guo (J. Comput. Appl. Math., 2022)

Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems. - Tao Guo; Omid Nikan; Zakieh Avazzadeh; Wenlin Qiu (Comput. Appl. Math., 2022)

The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions. - Qiong Huang 004; Ren-jun Qi; Wenlin Qiu (J. Appl. Math. Comput., 2022)

A spectral order method for solving the nonlinear fourth-order time-fractional problem. - Jing Guo; Qing Pan; Da Xu; Wenlin Qiu (J. Appl. Math. Comput., 2022)

Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. - Wenlin Qiu (Adv. Comput. Math., 2023)

Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. - Man Luo 004; Wenlin Qiu; Omid Nikan; Zakieh Avazzadeh (Appl. Math. Comput., 2023)

Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. - Tao Guo; Omid Nikan; Wenlin Qiu; Da Xu (Commun. Nonlinear Sci. Numer. Simul., 2023)

Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. - Wenlin Qiu; Xu Xiao; Kexin Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. - Yang Cao; Mahmoud A. Zaky; Ahmed S. Hendy; Wenlin Qiu (J. Comput. Appl. Math., 2023)

Two-grid finite difference method for 1D fourth-order Sobolev-type equation with Burgers' type nonlinearity. - Hao Chen; Omid Nikan; Wenlin Qiu; Zakieh Avazzadeh (Math. Comput. Simul., 2023)

Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions. - Leijie Qiao; Wenlin Qiu; Da Xu (Math. Comput. Simul., 2023)

Efficient third-order BDF finite difference scheme for the generalized viscous Burgers' equation. - Tao Guo; Da Xu; Wenlin Qiu (Appl. Math. Lett., 2023)

Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation. - Xiangyi Peng; Da Xu; Wenlin Qiu (Math. Comput. Simul., 2023)

Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. - Leijie Qiao; Wenlin Qiu; Da Xu (Numer. Algorithms, 2023)

Finite element approximation and analysis of damped viscoelastic hyperbolic integrodifferential equations with L1 kernel. - Mingchao Zhao; Wenlin Qiu (Appl. Math. Lett., 2024)

Numerical approximation for variable-exponent fractional diffusion-wave equation. - Xiangcheng Zheng; Hong Wang 018; Wenlin Qiu (CoRR, 2024)

Generalizing subdiffusive Black-Scholes model by variable exponent: Model transformation and numerical approximation. - Meihui Zhang; Mengmeng Liu; Wenlin Qiu; Xiangcheng Zheng (CoRR, 2024)

A multiscale Abel kernel and application in viscoelastic problem. - Wenlin Qiu; Tao Guo; Yiqun Li; Xu Guo; Xiangcheng Zheng (CoRR, 2024)

Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. - Wenlin Qiu; Xiangcheng Zheng; Kassem Mustapha 001 (CoRR, 2024)

Discrete L1 remainder stability of first and second order schemes for a Volterra integro-differential equation. - Wenlin Qiu; Yanping Chen 002; Xu Xiao; Xiangcheng Zheng (Math. Comput. Simul., 2024)

Local Modification of Subdiffusion by Initial Fickian Diffusion: Multiscale Modeling, Analysis, and Computation. - Xiangcheng Zheng; Yiqun Li; Wenlin Qiu (Multiscale Model. Simul., 2024)

Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations. - Xiangyi Peng; Wenlin Qiu; Ahmed S. Hendy; Mahmoud A. Zaky (J. Sci. Comput., 2024)

Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. - Hao Chen; Mahmoud A. Zaky; Xiangcheng Zheng; Ahmed S. Hendy; Wenlin Qiu (Numer. Algorithms, 2025)

Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal strong damping. - Tao Guo; Yiqun Li; Wenlin Qiu (CoRR, 2025)

Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model. - Wenlin Qiu; Xiangcheng Zheng; Tao Guo; Xu Xiao (CoRR, 2025)

Numerical analysis for subdiffusion problem with non-positive memory. - Wenlin Qiu; Xiangcheng Zheng (CoRR, 2025)

Long-time error estimate and decay of finite element method to a generalized viscoelastic flow. - Yingwen Guo; Yinnian He; Wenlin Qiu; Xiangcheng Zheng (CoRR, 2025)