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
相关论文
共 50 条
  • [21] High-order compact finite difference schemes for solving the regularized long-wave equation
    Yang, Xiaojia
    Zhang, Lin
    Ge, Yongbin
    APPLIED NUMERICAL MATHEMATICS, 2023, 185 : 165 - 187
  • [22] A one-parameter family of difference schemes for the regularized long-wave equation
    Berikelashvili, Givi
    Mirianashvili, Manana
    GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (04) : 639 - 667
  • [23] Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation
    Yousefi, S. A.
    Barikbin, Z.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2012, 7 (01):
  • [24] A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation
    Momoniat, E.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [25] Mixed Galerkin finite element methods for modified regularized long wave equation
    Gao, Yali
    Mei, Liquan
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 267 - 281
  • [26] NUMERICAL APPROXIMATION WITH THE SPLITTING ALGORITHM TO A SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE EQUATION
    Karta, Melike
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2023, 72 (04): : 1034 - 1054
  • [27] Numerical study of the Modified Regularized Long Wave (MRLW) equation
    Raslan, K. R.
    CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1845 - 1853
  • [28] Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines
    Karakoc, Seydi Battal Gazi
    Yagmurlu, Nuri Murat
    Ucar, Yusuf
    BOUNDARY VALUE PROBLEMS, 2013,
  • [29] SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY
    Wang, Kang-Jia
    Li, Geng
    Liu, Jing-Hua
    Wang, Guo-Dong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [30] A B-SPLINE FINITE-ELEMENT METHOD FOR THE REGULARIZED LONG-WAVE EQUATION
    GARDNER, LRT
    GARDNER, GA
    DAG, I
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1995, 11 (01): : 59 - 68