We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Wave propagation analysis in the modified nonlinear time fractional Harry Dym equation: Insights from Khater II method and B-spline schemes.
- Authors
Khater, Mostafa M. A.
- Abstract
This study aims to investigate the modified nonlinear time fractional Harry Dym equation using analytical and numerical techniques. The modified nonlinear time fractional Harry Dym equation is a generalization of the classical Harry Dym equation, which describes the propagation of nonlinear waves in a variety of physical systems. The conformable fractional derivative is used to define the time fractional derivative in the equation, which provides a natural and straightforward approach. The Khater II method, a powerful analytical technique, is employed to obtain approximate solutions for the equation. Additionally, three numerical schemes, namely, Cubic-B-spline, Quantic-B-spline and Septic-B-spline schemes, are developed and implemented to solve the equation numerically. The numerical results are compared with other numerical solutions to assess the accuracy and efficiency of the proposed schemes. The physical meaning of the modified nonlinear time fractional Harry Dym equation is discussed in detail, and its relation to other nonlinear evolution equations is highlighted. The results of this study provide new insights into the behavior of nonlinear waves in physical systems and contribute to a better understanding of the physical characterizations of the modified nonlinear time fractional Harry Dym equation.
- Subjects
WAVE analysis; THEORY of wave motion; NONLINEAR evolution equations; NONLINEAR analysis; NONLINEAR waves; EQUATIONS
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 29, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984924502889