Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator

被引:19
|
作者
Shah, Nehad Ali [1 ]
El-Zahar, Essam R. [2 ,3 ]
Chung, Jae Dong [1 ]
机构
[1] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea
[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, POB 83, Al Kharj 11942, Saudi Arabia
[3] Menoufia Univ, Dept Basic Engn Sci, Fac Engn, Shibin Al Kawm 32511, Egypt
关键词
PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; MODEL; APPROXIMATE; DYNAMICS;
D O I
10.1155/2022/6231921
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work applies a novel analytical technique to the fractional view analysis of coupled Burgers equations. The proposed problems have been fractionally analyzed in the Caputo-Fabrizio sense. The Yang transformation was initially applied to the specified problem in the current approach. The series form solution is then obtained using the Adomian decomposition technique. The desired analytical solution is obtained after performing the inverse transform. Specific examples of fractional Burgers couple systems are used to validate the proposed technique. The current strategy has been found to be a useful methodology with a close match to actual solutions. The proposed method offers a lower computing cost and a faster convergence rate. As a result, the suggested technique can be applied to a variety of fractional order problems.
引用
收藏
页数:13
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