$Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform$
QR Code

QR Code

Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform

A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, the same problem is solved by Adomian decomposition method (ADM). The re...

Full description

Bibliographic Details
Main Authors:	Singh, Jagdev, Kumar, Devendra, Kilicman, Adem
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30136/ http://psasir.upm.edu.my/id/eprint/30136/1/30136.pdf

Similar Items

Application of homotopy perturbation sumudu transform method for solving heat and wave-like equations
by: Singh, Jagdev, et al.
Published: (2013)

An efficient approach for fractional Harry Dym equation by using Sumudu transform
by: Kumar, Devendra, et al.
Published: (2013)

Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Note on transport equation and fractional Sumudu transform.
by: Kadem, Abdelouahab, et al.
Published: (2011)

On the solution of fractional Maxwell equations by Sumudu transform.
by: Kilicman, Adem, et al.
Published: (2010)

Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods
by: Kadem, Abdelouahab, et al.
Published: (2012)

Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
by: Atangana, Abdon, et al.
Published: (2013)

A note on fractional Sumudu transform
by: Gupta, Vineeta G., et al.
Published: (2010)

Some remarks on the fractional Sumudu transform and applications
by: Kilicman, Adem, et al.
Published: (2014)

On Sumudu transform and system of differential equations
by: Kilicman, Adem, et al.
Published: (2010)

A note on the Sumudu transforms and differential equations
by: Eltayeb, Hassan, et al.
Published: (2010)

Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
by: Singh, Jagdev, et al.
Published: (2014)

Some remarks on the Sumudu and Laplace transforms and applications to differential equations
by: Kilicman, Adem, et al.
Published: (2012)

Combination of integral and projected differential transform methods for time-fractional gas dynamics equations
by: Kilicman, Adem, et al.
Published: (2018)

On double Sumudu transform and double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2010)

Homotopy-perturbation method for heat transfer equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

An estimate of Sumudu transforms for Boehmians
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform
by: Kilicman, Adem, et al.
Published: (2018)

An application of double Laplace transform and double Sumudu transform
by: Kilicman, Adem, et al.
Published: (2009)

Solutions of Emden–Fowler equations by homotopy-perturbation methods
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation
by: Domairry, G., et al.
Published: (2008)

Homotopy perturbation method for solving perturbation problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2014)

Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)

Solution of classical Lane-Emden equation by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)

Analytic treatment of differential equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

Analytic treatment of differential equations by modified homotopy perturbation method
by: Chowdhury, M.S.H., et al.
Published: (2012)

Homotopy perturbation method for the hypersingular integral equations of the first kind
by: K.Eshkuvatov, Zainidin, et al.
Published: (2018)

Numerical study for fractional model of non-linear predator-prey biological population dynamical system
by: Singh, Jagdev, et al.
Published: (2019)

Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations
by: Eltayeb, Hassan, et al.
Published: (2014)

Homotopy-perturbation solution of the isothermal gas sphetres
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)

Homotopy-perturbation method applied to system of ordinary differential equations (ODEs)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)

Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)

A reliable modification of the homotopy perturbation method for differential and integral equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

Modified homotopy perturbation method for integro-differential and hypersingular integral equations
by: Zulkarnain, Fatimah Samihah
Published: (2018)

A note on the comparison between laplace and Sumudu transforms.
by: Kilicman, Adem, et al.
Published: (2011)