Solutions of fractional gas dynamics equation by a new technique

被引：31

作者：

Akgul, Ali ^{[1
]}

Cordero, Alicia ^{[2
]}

Ramon Torregrosa, Juan ^{[2
]}

机构：

[1] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

[2] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 03期

关键词：

fractional gas dynamics equation; Hilbert space; operators; BOUNDARY-VALUE-PROBLEMS; REPRODUCING KERNEL;

D O I：

10.1002/mma.5950

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1349 / 1358

页数：10