Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 92, 2015 - Issue 5
Submit an article Journal homepage
598
Views
26
CrossRef citations to date
0
Altmetric
Section B

A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

Zhibo WangDepartment of Mathematics, University of Macau, Av. Padre Tomás Pereira Taipa, Macau, ChinaCorrespondence[email protected]
&
Seakweng VongDepartment of Mathematics, University of Macau, Av. Padre Tomás Pereira Taipa, Macau, China
Pages 970-979 | Received 23 Oct 2013, Accepted 12 Apr 2014, Published online: 21 May 2014

Citations (26)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

Mingzhu Li, Qiang Ma & Xiaohua Ding. (2018) A compact ADI Crank–Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation. International Journal of Computer Mathematics 95:12, pages 2525-2538.
Read now
Y. D. Zhang, Y. M. Zhao, F. L. Wang & Y. F. Tang. (2018) High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. International Journal of Computer Mathematics 95:1, pages 218-230.
Read now
Jianfei Huang & Dandan Yang. (2017) A unified difference-spectral method for time–space fractional diffusion equations. International Journal of Computer Mathematics 94:6, pages 1172-1184.
Read now
Zhibo Wang, Seakweng Vong & Siu-Long Lei. (2016) Finite difference schemes for two-dimensional time-space fractional differential equations. International Journal of Computer Mathematics 93:3, pages 578-595.
Read now

Articles from other publishers (22)

Xuhao Li & Patricia J. Y. Wong. (2023) Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations. Journal of Applied Mathematics and Computing.
Crossref
Caixia Ou, Dakang Cen, Seakweng Vong & Zhibo Wang. (2022) Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. Applied Numerical Mathematics 177, pages 34-57.
Crossref
Umair Ali, Azhar Iqbal, Muhammad Sohail, Farah Aini Abdullah & Zohaib Khan. (2022) Compact implicit difference approximation for time-fractional diffusion-wave equation. Alexandria Engineering Journal 61:5, pages 4119-4126.
Crossref
Yining Yang, Yang Liu, Cao Wen, Hong Li & Jinfeng Wang. (2022) Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model. Electronic Research Archive 30:2, pages 440-458.
Crossref
Guanghui Zhang & Min Ren. (2021) A compact scheme for two-dimensional nonlinear time fractional wave equations. International Journal of Modeling, Simulation, and Scientific Computing 12:05, pages 2150040.
Crossref
Li Chai, Yang Liu & Hong Li. (2021) Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models. Computers & Mathematics with Applications 100, pages 1-10.
Crossref
Zhibo Wang, Yuxiang Liang & Yan Mo. (2021) A novel high order compact ADI scheme for two dimensional fractional integro-differential equations. Applied Numerical Mathematics 167, pages 257-272.
Crossref
Zhibo Wang, Dakang Cen & Yan Mo. (2021) Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels. Applied Numerical Mathematics 159, pages 190-203.
Crossref
Jianfei Huang, Jingna Zhang, Sadia Arshad & Yifa Tang. (2021) A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Applied Numerical Mathematics 159, pages 159-173.
Crossref
S.S. Ezz-Eldien, E.H. Doha, Y. Wang & W. Cai. (2020) A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. Communications in Nonlinear Science and Numerical Simulation 91, pages 105445.
Crossref
Jianfei Huang, Dandan Yang & Laurent O. Jay. (2020) Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations. Numerical Algorithms 85:2, pages 375-397.
Crossref
Leijie Qiao, Zhibo Wang & Da Xu. (2020) An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation. Applied Numerical Mathematics 151, pages 199-212.
Crossref
Somayeh Nemati & Afshin Babaei. (2019) A Numerical Method Based on the Jacobi Polynomials to Reconstruct an Unknown Source Term in a Time Fractional Diffusion-wave Equation. Taiwanese Journal of Mathematics 23:5.
Crossref
Leijie Qiao, Da Xu & Zhibo Wang. (2019) An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel. Applied Mathematics and Computation 354, pages 103-114.
Crossref
Xuhao Li & Patricia J. Y. Wong. (2019) Numerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic spline. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99:5, pages e201800094.
Crossref
Z. Soori & A. Aminataei. (2018) Effect of the nodes near boundary points on the stability analysis of sixth-order compact finite difference ADI scheme for the two-dimensional time fractional diffusion-wave equation. Transactions of A. Razmadze Mathematical Institute 172:3, pages 582-605.
Crossref
Shahrokh Esmaeili. (2017) Solving 2D time-fractional diffusion equations by a pseudospectral method and Mittag-Leffler function evaluation. Mathematical Methods in the Applied Sciences 40:6, pages 1838-1850.
Crossref
Hu Chen, Shujuan Lü & Wenping Chen. (2016) Spectral methods for the time fractional diffusion–wave equation in a semi-infinite channel. Computers & Mathematics with Applications 71:9, pages 1818-1830.
Crossref
Hong-Kui Pang & Hai-Wei Sun. (2016) Fourth order finite difference schemes for time–space fractional sub-diffusion equations. Computers & Mathematics with Applications 71:6, pages 1287-1302.
Crossref
Peng Zhu & Shenglan Xie. (2016) ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation. American Journal of Computational Mathematics 06:04, pages 336-356.
Crossref
Seakweng Vong & Zhibo Wang. (2015) A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates. Numerical Methods for Partial Differential Equations 31:5, pages 1692-1712.
Crossref
Seakweng Vong & Zhibo Wang. (2015) High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions. East Asian Journal on Applied Mathematics 4:3, pages 222-241.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.