Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation L Li, D Xu, M Luo Journal of Computational Physics 255, 471-485, 2013 | 90 | 2013 |
Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation X Yang, H Zhang, D Xu Journal of Computational Physics 256, 824-837, 2014 | 62 | 2014 |
Crank–Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel X Yang, D Xu, H Zhang Journal of Computational Physics 234, 317-329, 2013 | 59 | 2013 |
A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model W Qiu, D Xu, J Guo, J Zhou Numerical Algorithms 85 (1), 39-58, 2020 | 57 | 2020 |
A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel D Xu, W Qiu, J Guo Numerical Methods for Partial Differential Equations 36 (2), 439-458, 2020 | 54 | 2020 |
An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation L Qiao, Z Wang, D Xu Applied Numerical Mathematics 151, 199-212, 2020 | 50 | 2020 |
Finite central difference/finite element approximations for parabolic integro-differential equations W Li, X Da Computing 90 (3), 89-111, 2010 | 49 | 2010 |
An ADI Crank–Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation G Fairweather, X Yang, D Xu, H Zhang Journal of Scientific Computing 65, 1217-1239, 2015 | 47 | 2015 |
On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel I: smooth initial data X Da Applied mathematics and computation 57 (1), 1-27, 1993 | 47 | 1993 |
A second-order BDF compact difference scheme for fractional-order Volterra equation H Chen, S Gan, D Xu, Q Liu International Journal of Computer Mathematics 93 (7), 1140-1154, 2016 | 46 | 2016 |
Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation L Li, D Xu Journal of Computational Physics 236, 157-168, 2013 | 46 | 2013 |
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 W Qiu, D Xu, J Guo Applied Mathematics and Computation 392, 125693, 2021 | 41 | 2021 |
The efficacy of repetitive transcranial magnetic stimulation for Parkinson disease patients with depression W Hai-Jiao, T Ge, Z Li-Na, C Deng, X Da, C Shan-Shan, L Liu International Journal of Neuroscience 130 (1), 19-27, 2020 | 41 | 2020 |
A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation H Zhang, X Yang, Q Tang, D Xu Computers & Mathematics with Applications 109, 180-190, 2022 | 39 | 2022 |
A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation H Chen, D Xu, Y Peng Applied Mathematical Modelling 41, 54-67, 2017 | 39 | 2017 |
A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel H Chen, D Xu, J Zhou Journal of Computational and Applied Mathematics 356, 152-163, 2019 | 37 | 2019 |
An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties Q Tian, X Yang, H Zhang, D Xu Computational and Applied Mathematics 42 (6), 246, 2023 | 35 | 2023 |
An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile–immobile equation in two dimensions W Qiu, D Xu, H Chen, J Guo Computers & Mathematics with Applications 80 (12), 3156-3172, 2020 | 35 | 2020 |
An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel L Qiao, D Xu, Z Wang Applied Mathematics and Computation 354, 103-114, 2019 | 35 | 2019 |
Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel X Yang, D Xu, H Zhang International Journal of Computer Mathematics 88 (15), 3236-3254, 2011 | 35 | 2011 |