1. Solutions of fractional gas dynamics equation by a new technique
- Author
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Alicia Cordero Barbero, Juan Ramón Torregrosa Sánchez, and Ali Akgül
- Subjects
Fractional gas dynamics equation ,General Mathematics ,Operators ,010102 general mathematics ,Hilbert space ,General Engineering ,Gas dynamics ,01 natural sciences ,010101 applied mathematics ,symbols.namesake ,symbols ,0101 mathematics ,MATEMATICA APLICADA ,Mathematics ,Mathematical physics - Abstract
[EN] 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., This research was partially supported by Spanish Ministerio de Ciencia, Innovacion y Universidades PGC2018-095896-B-C22 and Generalitat Valenciana PROMETEO/2016/089.
- Published
- 2019