Numerical Investigation of Nonlinear Shock Wave Equations with Fractional Order in Propagating Disturbance
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Access Rights
info:eu-repo/semantics/openAccess
Abstract
The symmetry design of the system contains integer partial differential equations and fractional-order partial differential equations with fractional derivative. In this paper, we develop a scheme to examine fractional-order shock wave equations and wave equations occurring in the motion of gases in the Caputo sense. This scheme is formulated using the Mohand transform (MT) and the homotopy perturbation method (HPM), altogether called Mohand homotopy perturbation transform (MHPT). Our main finding in this paper is the handling of the recurrence relation that produces the series solutions after only a few iterations. This approach presents the approximate and precise solutions in the form of convergent results with certain countable elements, without any discretization or slight perturbation theory. The numerical findings and solution graphs attained using the MHPT confirm that this approach is significant and reliable.
Description
Keywords
Mohand transform, homotopy perturbation method, shock wave equation
Journal or Series
Symmetry-Basel
WoS Q Value
Q2
Scopus Q Value
Q1
Volume
14
Issue
6
