阿多米安分解法
Korteweg–de Vries方程
非线性系统
核(代数)
数学
分数阶微积分
应用数学
航程(航空)
类型(生物学)
数学分析
偏微分方程
物理
纯数学
生态学
材料科学
量子力学
复合材料
生物
作者
Mashael M. AlBaidani,Abdul Hamid Ganie,Adnan Khan
出处
期刊:AIP Advances
[American Institute of Physics]
日期:2023-11-01
卷期号:13 (11)
被引量:3
摘要
To study magneto-acoustic waves in plasma, we will use a numerical method based on the Natural Transform Decomposition Method (NTDM) to find the approximative solutions of nonlinear fifth-order KdV equations. The method combines the familiar Natural transform (NT) with the standard Adomian decomposition method. The fractional derivatives considered are the Caputo–Fabrizio and the Atangana–Baleanu derivatives in the sense of Caputo derivatives. Adomian polynomials may be employed to tackle nonlinear terms. In this method, the solution is calculated as a convergent series, and it is demonstrated that the NTDM solutions converge to the exact solutions. A range of two- and three-dimensional figures have been used to illustrate the dynamic behavior of the derived solutions. The tables provide a visual representation of numerical data. The physical behavior of the derived solutions about fractional order is further demonstrated by several simulations. When addressing nonlinear wave equations in science and engineering, the NTDM offers a broad range of applications. Several examples are given to highlight the importance of this work and to demonstrate the simplicity and trustworthiness of the method.
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