Analytical and numerical solutions of a multi-term time-fractional Burgers’ fluid model

Jinghua Zhang, Fawang Liu, Zeng Lin and Vo Anh

Applied Mathematics and Computation, 2019, vol. 356, issue C, 1-12

Abstract: In this paper, we consider a multi-term time-fractional Burgers’ fluid model (MT-TFBFM). The analytical solution of MT-TFBFM is obtained by the method of separation of variables. We present a unified numerical scheme by virtue of the weighted shifted Grünwald difference (WSGD) scheme in time and Legendre spectral method in space. Especially, the corrected weighted shifted Grünwald difference (CWSGD) scheme is utilized to improve the convergence accuracy. Three examples are given to illustrate the stability, accuracy and effectiveness of the proposed numerical scheme.

Keywords: Multi-term time-fractional Burgers’ fluid model; WSGD scheme; Legendre spectral method; CWSGD scheme (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319301894
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:356:y:2019:i:c:p:1-12

DOI: 10.1016/j.amc.2019.02.079

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().