Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 95, 2018 - Issue 3
Submit an article Journal homepage
221
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation

Rongjun ChengFaculty of Maritime and Transportation, Ningbo University, Ningbo, People’s Republic of ChinaView further author information
,
Fengxin SunFaculty of Science, Ningbo University of Technology, Ningbo, People’s Republic of ChinaView further author information
&
Jufeng WangNingbo Institute of Technology, Zhejiang University, Ningbo, People’s Republic of ChinaCorrespondence[email protected]
View further author information
Pages 540-560 | Received 03 Jun 2016, Accepted 25 Jan 2017, Published online: 24 Feb 2017

Citations (14)

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 (1)

Mohamed Salah, Ola Ragb & Abdul-Majid Wazwaz. (2022) Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves. Waves in Random and Complex Media 0:0, pages 1-18.
Read now

Articles from other publishers (13)

Tao Jiang, Yu-Hang Liu, Qiang Li, Jin-Lian Ren & Deng-Shan Wang. (2024) An accelerated novel meshless coupled algorithm for Non-local nonlinear behavior in 2D/3D space-fractional GPEs. Computer Physics Communications 296, pages 109023.
Crossref
Mostafa Abbaszadeh, AliReza Bagheri Salec & Shurooq Kamel Abd Al-Khafaji. (2023) A reduced-order Jacobi spectral collocation method for solving the space-fractional FitzHugh–Nagumo models with application in myocardium. Engineering Computations 40:9/10, pages 2980-3008.
Crossref
Tao Jiang, Xing-Chi Wang, Jin-Lian Ren, Jin-Jing Huang & Jin-Yun Yuan. (2023) A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems. Computers & Mathematics with Applications 140, pages 260-281.
Crossref
Xiaogang Zhu, Jimeng Li & Yaping Zhang. (2021) A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications. Numerical Algorithms 90:1, pages 159-196.
Crossref
Qingxia Liu, Pinghui Zhuang, Fawang Liu, Minling Zheng & Shanzhen Chen. (2021) Radial point interpolation collocation method based approximation for 2D fractional equation models. Computers & Mathematics with Applications 97, pages 153-161.
Crossref
X. G. Zhu, Y. F. Nie, J. G. Wang & Z. B. Yuan. (2021) An advanced meshless approach for the high-dimensional multi-term time-space-fractional PDEs on convex domains. Nonlinear Dynamics 104:2, pages 1555-1580.
Crossref
Shina D. Oloniiju, Sicelo P. Goqo & Precious Sibanda. (2021) A GEOMETRICALLY CONVERGENT PSEUDO–SPECTRAL METHOD FOR MULTI–DIMENSIONAL TWO–SIDED SPACE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS. Journal of Applied Analysis & Computation 11:4, pages 1699-1717.
Crossref
Longjin Lv & Luna Wang. (2020) Stochastic Representation and Monte Carlo Simulation for Multiterm Time-Fractional Diffusion Equation. Advances in Mathematical Physics 2020, pages 1-7.
Crossref
X. G. Zhu, Y. F. Nie, Z. H. Ge, Z. B. Yuan & J. G. Wang. (2020) A class of RBFs-based DQ methods for the space-fractional diffusion equations on 3D irregular domains. Computational Mechanics 66:1, pages 221-238.
Crossref
Qingxia Liu, Pinghui Zhuang, Fawang Liu, Junjiang Lai, Vo Anh & Shanzhen Chen. (2019) An investigation of radial basis functions for fractional derivatives and their applications. Computational Mechanics 65:2, pages 475-486.
Crossref
Na Zhao, Changku Sun & Peng Wang. (2019) Calibration Method of Orthogonally Splitting Imaging Pose Sensor Based on KDFcmPUM. Sensors 19:22, pages 4991.
Crossref
X. G. Zhu, Z. B. Yuan, F. Liu & Y. F. Nie. (2018) Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. Numerical Algorithms 79:3, pages 853-877.
Crossref
FengXin Sun & JuFeng Wang. (2017) Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis. Applied Mathematics and Computation 315, pages 54-69.
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.