Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 3, Pages 1349-1358Publisher
WILEY
DOI: 10.1002/mma.5950
Keywords
fractional gas dynamics equation; Hilbert space; operators
Categories
Funding
- Spanish Ministerio de Ciencia, Innovacion y Universidades [PGC2018-095896-B-C22]
- Generalitat Valenciana [PROMETEO/2016/089]
Ask authors/readers for more resources
In this paper, a novel technique is formed to obtain the solution of a fractional gas dynamics equation. Some reproducing kernel Hilbert spaces are defined. Reproducing kernel functions of these spaces have been found. Some numerical examples are shown to confirm the efficiency of the reproducing kernel Hilbert space method. The accurate pulchritude of the paper is arisen in its strong implementation of Caputo fractional order time derivative on the classical equations with the success of the highly accurate solutions by the series solutions. Reproducing kernel Hilbert space method is actually capable of reducing the size of the numerical work. Numerical results for different particular cases of the equations are given in the numerical section.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available