Related Experiment Video
Updated: Jun 25, 2025

A Rapid Method for Modeling a Variable Cycle Engine
Published on: August 13, 2019
Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional
Maasoomah Sadaf1, Zahida Perveen2, Ghazala Akram1
1Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan.
Abstract:
In this article, Elzaki decomposition method (EDM) has been applied to approximate the analytical solution of the time-fractional gas-dynamics equation. The time-fractional derivative is used in the Caputo-Fabrizio sense. The proposed method is implemented on homogenous and non-homogenous cases of the time-fractional gas-dynamics equation. A comparison between the exact and approximate solutions is also provided to show the validity and accuracy of the technique. A graphical representation of all the retrieved solutions is shown for different values of the fractional parameter. The time development of all solutions is also represented in 2D graphs. The obtained results may help understand the physical systems governed by the gas-dynamics equation.
Related Concept Videos
Difference Equation Solution using z-Transform
The z-transform facilitates handling delayed signals by shifting the signal in the z-domain, which corresponds to delaying the signal in the time domain, and advancing signals by similarly shifting in the...
Inverse z-Transform by Partial Fraction Expansion
To begin the process, the poles of the function are identified and the function is...
The Buckingham Pi Theorem
Path Between Thermodynamics States
Velocity and Position by Integral Method
Consider an example to calculate the velocity and position from the acceleration function. A motorboat is traveling at a constant velocity of 5.0 m/s when it starts to decelerate to arrive at the dock. Its acceleration is...
Maxwell-Boltzmann Distribution: Problem Solving
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by

