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An effective computational approach and sensitivity analysis to pseudo-parabolic-type equations.

Authors :
Kaplan, Melike
Butt, Asma Rashid
Thabet, Hayman
Akbulut, Arzu
Raza, Nauman
Kumar, Dipankar
Source :
Waves in Random & Complex Media. Oct2024, Vol. 34 Issue 5, p4172-4186. 15p.
Publication Year :
2024

Abstract

The researchers have developed numerous analytical and numerical techniques for solving fractional partial differential equations most of which provide approximate solutions. Exact solutions, however, are vitally important in a convenient conception of the qualitative properties of the concerned phenomena and processes. In this paper, the pseudo-parabolic-type equations with conformable fractional derivatives are reduced to conformable fractional nonlinear ordinary differential equations by implementing a simple wave transformation. An important benefit of the proposed transformation is that it yields analytical solutions of the conformable pseudo-parabolic type equations by applying the exponential rational function strategy. The sensitivity behaviour of the model has been mentioned thoroughly. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17455030
Volume :
34
Issue :
5
Database :
Academic Search Index
Journal :
Waves in Random & Complex Media
Publication Type :
Academic Journal
Accession number :
179685642
Full Text :
https://doi.org/10.1080/17455030.2021.1989081