Numerical solution of distributed-order time fractional Klein-Gordon-Zakharov system

被引：7
|
作者：
Heydari, M. H. [1 ]
Razzaghi, M. [2 ]
Baleanu, D. [3 ,4 ,5 ]
机构：
[1] Shiraz Univ Technol, Dept Math, Shiraz, Iran
[2] Mississippi State Univ, Dept Math & Stat, Mississippi, MS 39762 USA
[3] Cankaya Univ, Dept Math, Ankara, Turkiye
[4] Inst Space Sci, R-76900 Bucharest, Romania
[5] Lebanese Amer Univ, Beirut, Lebanon
来源：
JOURNAL OF COMPUTATIONAL SCIENCE | 2023年 / 67卷
关键词：
Distributed-order fractional derivative; Klein-Gordon-Zakharov system; Chebyshev cardinal polynomials; Derivative matrices; GALERKIN; MODEL;
D O I：
10.1016/j.jocs.2023.101961
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this work, the distributed-order time fractional Klein-Gordon-Zakharov system is introduced by substituting the second-order temporal derivative with a distributed-order fractional derivative. The Caputo fractional derivative is utilized to define this kind of distributed-order fractional derivative. A high accuracy approach based on the Chebyshev cardinal polynomials is established for this system. The proposed method turns the fractional system solution into an algebraic system solution by approximating the unknown solution via these cardinal polynomials and engaging their derivative matrices (that are obtained in this paper). Some test problems are considered to investigate the capability and accuracy of this approach.
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页数：13
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