Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations

Chao Yue, Guijuan Liu, Kun Li and Hanhui Dong

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: By using scalar similarity transformation, nonlinear model of time‐fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling‐wave similarity solution of time‐fractional Harry Dym equation is presented. Furthermore, numerical solutions of time‐fractional diffusion equation are discussed. Again, through another similarity transformation, nonlinear model of space‐fractional diffusion/Harry Dym equation is turned into corresponding ordinary differential equations, whose two similarity solutions are also worked out.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2021/6670533

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:wly:jnlamp:v:2021:y:2021:i:1:n:6670533

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().