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Variable-step L1 method combined with time two-grid algorithm for multi-singularity problems arising from two-dimensional nonlinear delay fractional equations Journal article
Ou, Caixia, Cen, Dakang, Vong, Seakweng. Variable-step L1 method combined with time two-grid algorithm for multi-singularity problems arising from two-dimensional nonlinear delay fractional equations[J]. Communications in Nonlinear Science and Numerical Simulation, 2024, 139, 108270.
Authors:  Ou, Caixia;  Cen, Dakang;  Vong, Seakweng
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:3.4/3.3 | Submit date：2024/09/03
Finite Difference Method  Multi-singularity Problem  Nonlinear Delay Fractional Equations  Stability And Convergence  Time Two-grid Technique  
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation Journal article
Yang, Wenguang, Wang, Zhibo, Ou, Caixia. A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation[J]. International Journal of Computer Mathematics, 2024, 101(11), 1255-1269.
Authors:  Yang, Wenguang;  Wang, Zhibo;  Ou, Caixia
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.7/1.5 | Submit date：2024/10/16
Cut-off Function Method  Stability And Convergence  Time Two-grid Algorithm  Time-fractional Fisher Equation  
Mathematical Analysis and a Second-Order Compact Scheme for Nonlinear Caputo–Hadamard Fractional Sub-diffusion Equations Journal article
Guan, Kaijing, Ou, Caixia, Wang, Zhibo. Mathematical Analysis and a Second-Order Compact Scheme for Nonlinear Caputo–Hadamard Fractional Sub-diffusion Equations[J]. Mediterranean Journal of Mathematics, 2024, 21(3), 77.
Authors:  Guan, Kaijing;  Ou, Caixia;  Wang, Zhibo
Favorite | TC[WOS]:5 TC[Scopus]:5  IF:1.1/1.1 | Submit date：2024/05/16
35r11  65m06  65m12  Discrete Fractional Gro¨nwall Inequality  Non-uniform Grids  Nonlinear Caputo–hadamard Fractional Differential Equations  Stability And Convergence  Weak Singularity  
An Order Reduction Method for the Nonlinear Caputo‑Hadamard Fractional Difusion‑Wave Model Journal article
Zhang, Jieying, Ou, Caixia, Wang, Zhibo, Vong, Seakweng. An Order Reduction Method for the Nonlinear Caputo‑Hadamard Fractional Difusion‑Wave Model[J]. Communications on Applied Mathematics and Computation, 2023, s42967-023-00295-5.
Authors:  Zhang, Jieying;  Ou, Caixia;  Wang, Zhibo;  Vong, Seakweng
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:1.4/0 | Submit date：2024/02/22
Caputo-hadamard Fractional Differential Equations (Fdes)  Nonuniform Mesh  Stability And Convergence  Symmetric Fractional-order Reduction Method  
On τ-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations Journal article
Yuan-Yuan Huang, Wei Qu, Siu Long Lei. On τ-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations[J]. Computers and Mathematics with Applications, 2023, 145, 124-140.
Authors:  Yuan-Yuan Huang;  Wei Qu;  Siu Long Lei
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:2.9/2.6 | Submit date：2023/08/03
Preconditioned Conjugate Gradient Method  Riesz Space-fractional Diffusion Equations  Spectral Analysis  Stability And Convergence  Τ-preconditioner  
Fast compact finite difference schemes on graded meshes for fourth-order multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions Journal article
Wang, Zhibo, Ou, Caixia, Cen, Dakang. Fast compact finite difference schemes on graded meshes for fourth-order multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions[J]. International Journal of Computer Mathematics, 2023, 100(2), 361-382.
Authors:  Wang, Zhibo;  Ou, Caixia;  Cen, Dakang
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:1.7/1.5 | Submit date：2023/01/30
Fast Compact Difference Scheme  First Dirichlet Boundary Conditions  Fourth-order Multi-term Fractional Sub-diffusion Equation  Non-smooth Solution  Stability And Convergence  
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations Journal article
Sun, Lu Yao, Fang, Zhi Wei, Lei, Siu Long, Sun, Hai Wei, Zhang, Jia Li. A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations[J]. Applied Mathematics and Computation, 2022, 425, 127095.
Authors:  Sun, Lu Yao;  Fang, Zhi Wei;  Lei, Siu Long;  Sun, Hai Wei;  Zhang, Jia Li
Favorite | TC[WOS]:9 TC[Scopus]:11  IF:3.5/3.1 | Submit date：2022/05/13
Block-circulant-circulant-block Preconditioner  Distributed-order Fractional Derivative  Exponential-sum-approximation Method  Fast Algorithm  Stability And Convergence  Time-space Fractional Equation  
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations Journal article
Ou, Caixia, Cen, Dakang, Vong, Seakweng, Wang, Zhibo. Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations[J]. Applied Numerical Mathematics, 2022, 177, 34-57.
Authors:  Ou, Caixia;  Cen, Dakang;  Vong, Seakweng;  Wang, Zhibo
Favorite | TC[WOS]:31 TC[Scopus]:30  IF:2.2/2.3 | Submit date：2022/05/13
Caputo-hadamard Fractional Diffusion-wave Equations  Weak Singularity  Exponential Type Meshes  Fast Finite Difference Methods  Stability And Convergence  
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations Journal article
Zhang, Jia Li, Fang, Zhi Wei, Sun, Hai Wei. Exponential-sum-approximation technique for variable-order time-fractional diffusion equations[J]. Journal of Applied Mathematics and Computing, 2021, 68(1), 323-347.
Authors:  Zhang, Jia Li;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite | TC[WOS]:26 TC[Scopus]:25  IF:2.4/2.3 | Submit date：2022/03/04
Exponential-sum-approximation Method  Fast Algorithm  Stability And Convergence  Time-fractional Diffusion Equation  
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation Journal article
Pang, Hong Kui, Sun, Hai Wei. A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation[J]. Journal of Scientific Computing, 2021, 87(1), 15.
Authors:  Pang, Hong Kui;  Sun, Hai Wei
Favorite | TC[WOS]:11 TC[Scopus]:11  IF:2.8/2.7 | Submit date：2021/12/07
Fractional Derivative Of Variable-order  Finite Difference Method  Polynomial Interpolation  Low-rank Approximation  Stability And Convergence