Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel. - Xuehua Yang; Da Xu; Haixiang Zhang 003 (Int. J. Comput. Math., 2011)

Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel. - Haixiang Zhang 003; Xuli Han; Xuehua Yang (Appl. Math. Comput., 2013)

Quasi-wavelet method for time-dependent fractional partial differential equation. - Haixiang Zhang 003; Xuli Han (Int. J. Comput. Math., 2013)

Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel. - Xuehua Yang; Da Xu; Haixiang Zhang 003 (J. Comput. Phys., 2013)

Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation. - Haixiang Zhang 003; Xuehua Yang; Xuli Han (Comput. Math. Appl., 2014)

Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. - Xuehua Yang; Haixiang Zhang 003; Da Xu (J. Comput. Phys., 2014)

An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation. - Graeme Fairweather; Xuehua Yang; Da Xu; Haixiang Zhang 003 (J. Sci. Comput., 2015)

Orthogonal spline collocation method for the fourth-order diffusion system. - Xuehua Yang; Haixiang Zhang 003; Da Xu (Comput. Math. Appl., 2018)

The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory. - Haixiang Zhang 003; Xuehua Yang (Int. J. Comput. Math., 2018)

WSGD-OSC Scheme for Two-Dimensional Distributed Order Fractional Reaction-Diffusion Equation. - Xuehua Yang; Haixiang Zhang 003; Da Xu (J. Sci. Comput., 2018)

The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. - Xuehua Yang; Haixiang Zhang 003; Qi Zhang; Guangwei Yuan; Zhiqiang Sheng (Appl. Math. Lett., 2019)

A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. - Haixiang Zhang 003; Xuehua Yang; Da Xu (Numer. Algorithms, 2019)

A spline collocation method for a fractional mobile-immobile equation with variable coefficients. - Xuehua Yang; Haixiang Zhang 003; Qiong Tang (Comput. Appl. Math., 2020)

An Efficient Spline Collocation Method for a Nonlinear Fourth-Order Reaction Subdiffusion Equation. - Haixiang Zhang 003; Xuehua Yang; Da Xu (J. Sci. Comput., 2020)

Analysis of BDF2 finite difference method for fourth-order integro-differential equation. - Yanling Liu; Xuehua Yang; Haixiang Zhang 003; Yuan Liu (Comput. Appl. Math., 2021)

An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation. - Xuehua Yang; Wenlin Qiu; Haixiang Zhang 003; Liang Tang (Comput. Math. Appl., 2021)

The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions. - Xuehua Yang; Haixiang Zhang 003; Jie Tang (Comput. Math. Appl., 2021)

Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation. - Haixiang Zhang 003; Xuehua Yang; Qiong Tang (Int. J. Comput. Math., 2021)

The uniform l1 long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data. - Xuehua Yang; Haixiang Zhang 003 (Appl. Math. Lett., 2022)

A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation. - Haixiang Zhang 003; Xuehua Yang; Qiong Tang; Da Xu (Comput. Math. Appl., 2022)

A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel. - Furong Wang; Xuehua Yang; Haixiang Zhang 003; Lijiao Wu (Math. Comput. Simul., 2022)

ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel. - Biao Yang; Haixiang Zhang 003; Xuehua Yang; Liang Tang (J. Appl. Math. Comput., 2022)

An implicit difference scheme for the fourth-order nonlinear non-local PIDEs with a weakly singular kernel. - Qingqing Tian; Haixiang Zhang 003; Xuehua Yang; Xiaoxuan Jiang (Comput. Appl. Math., 2022)

A second-order finite difference method for the multi-term fourth-order integral-differential equations on graded meshes. - Lijiao Wu; Haixiang Zhang 003; Xuehua Yang; Furong Wang (Comput. Appl. Math., 2022)

An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space. - Haixiang Zhang 003; Yuan Liu; Xuehua Yang (J. Appl. Math. Comput., 2023)

An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions. - Ziyi Zhou; Haixiang Zhang 003; Xuehua Yang; Jie Tang (Int. J. Comput. Math., 2023)

An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties. - Qingqing Tian; Xuehua Yang; Haixiang Zhang 003; Da Xu (Comput. Appl. Math., 2023)

A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity. - Xuehua Yang; Lijiao Wu; Haixiang Zhang 003 (Appl. Math. Comput., 2023)

CN ADI fast algorithm on non-uniform meshes for the three-dimensional nonlocal evolution equation with multi-memory kernels in viscoelastic dynamics. - Ziyi Zhou; Haixiang Zhang 003; Xuehua Yang (Appl. Math. Comput., 2024)

A BDF3 and new nonlinear fourth-order difference scheme for the generalized viscous Burgers' equation. - Jiawei Wang; Xiaoxuan Jiang; Haixiang Zhang 003 (Appl. Math. Lett., 2024)

A new linearized ADI compact difference method on graded meshes for a nonlinear 2D and 3D PIDE with a WSK. - Caojie Li; Haixiang Zhang 003; Xuehua Yang (Comput. Math. Appl., 2024)

A fast compact finite difference scheme for the fourth-order diffusion-wave equation. - Wan Wang; Haixiang Zhang 003; Ziyi Zhou; Xuehua Yang (Int. J. Comput. Math., 2024)

A nonlinear compact method based on double reduction order scheme for the nonlocal fourth-order PDEs with Burgers' type nonlinearity. - Jiawei Wang; Xiaoxuan Jiang; Xuehua Yang; Haixiang Zhang 003 (J. Appl. Math. Comput., 2024)

The time two-grid algorithm combined with difference scheme for 2D nonlocal nonlinear wave equation. - Haixiang Zhang 003; Xiaoxuan Jiang; Furong Wang; Xuehua Yang (J. Appl. Math. Comput., 2024)

A new nonlinear compact difference scheme for a fourth-order nonlinear Burgers type equation with a weakly singular kernel. - Caojie Li; Haixiang Zhang 003; Xuehua Yang (J. Appl. Math. Comput., 2024)

A fourth-order accurate extrapolation nonlinear difference method for fourth-order nonlinear PIDEs with a weakly singular kernel. - Caojie Li; Haixiang Zhang 003; Xuehua Yang (Comput. Appl. Math., 2024)

H1-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems. - Ziyi Zhou; Haixiang Zhang 003; Xuehua Yang (Numer. Algorithms, 2024)

A new robust compact difference scheme on graded meshes for the time-fractional nonlinear Kuramoto-Sivashinsky equation. - Jiawei Wang; Xiaoxuan Jiang; Xuehua Yang; Haixiang Zhang 003 (Comput. Appl. Math., 2024)

A BDF2 ADI difference scheme for a three-dimensional nonlocal evolution equation with multi-memory kernels. - Ziyi Zhou; Haixiang Zhang 003; Xuehua Yang (Comput. Appl. Math., 2024)

A Crank-Nicolson ADI compact difference scheme for the three-dimensional nonlocal evolution problem with a weakly singular kernel. - Kai Liu; Zhangming He; Haixiang Zhang 003; Xuehua Yang (Comput. Appl. Math., 2025)

The ADI compact difference scheme for three-dimensional integro-partial differential equation with three weakly singular kernels. - Tianyuan Liu; Haixiang Zhang 003; Xuehua Yang (J. Appl. Math. Comput., 2025)