Uncertainties in regularized long-wave equation and its modified form: A triangular fuzzy-based approach

被引:6
作者
Vana, Rambabu [1 ]
Perumandla, Karunakar [1 ]
机构
[1] VIT AP Univ, Sch Adv Sci, Dept Math, Amaravati, India
关键词
FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION; GALERKIN METHOD; RLW EQUATION; ALGORITHM;
D O I
10.1063/5.0206452
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This article explores the solution of the regularized long-wave equation (RLWE) and modified RLWE (MRLWE) using a semi-analytical approach known as the homotopy perturbation transform method (HPTM), revealing the characteristics of shallow water waves and ion-acoustic plasma waves. The effectiveness and accuracy of the technique are demonstrated by solving scenarios involving a single solitary wave (SSW) and two solitary waves (TSW) presented and compared with the exact solution of the RLWE. Furthermore, we introduced a fuzzy model for both RLWE and MRLWE, considering uncertainties in the coefficients related to the wave amplitude, and to understand the behavior of both fuzzy RLWE (FRLWE) and fuzzy MRLWE (FMRLWE) in the SSW by examining various numerical results using MATLAB.
引用
收藏
页数:12
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