Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform

@inproceedings{Singh2014HomotopyPM,
  title={Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform},
  author={Jagdev Singh and Devendra Kumar},
  year={2014}
}
and Applied Analysis 3 4. Solution by Homotopy Perturbation Sumudu Transform Method (HPSTM) 4.1. Basic Idea of HPSTM. To illustrate the basic idea of this method, we consider a general fractional nonlinear nonhomogeneous partial differential equationwith the initial condition of the form D α t U (x, t) + RU (x, t) + NU (x, t) = g (x, t) , (11) U (x, 0) = f (x) , (12) where Dα t U(x, t) is the Caputo fractional derivative of the function U(x, t), R is the linear differential operator, N… CONTINUE READING

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References

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Showing 1-10 of 64 references

Approximate analytical solutions of fractional gas dynamic equations

Applied Mathematics and Computation • 2011
View 4 Excerpts
Highly Influenced

A note on integral transforms and partial differential equations,

A. Kılıçman, H. Eltayeb
Applied Mathematical Sciences, • 2010
View 6 Excerpts
Highly Influenced

Beyond Adomian polynomials: he polynomials,

A. Ghorbani
Chaos, Solitons and Fractals, • 2009
View 5 Excerpts
Highly Influenced

Solving Frontier Problems of Physics: The Decomposition Method

G. Adomian
vol. 60 of Fundamental Theories of Physics, Kluwer Academic, Dordrecht, The Netherlands • 1994
View 12 Excerpts
Highly Influenced

Gadain, “On the applications of Laplace and Sumudu transforms,

H.E.A. Kılıçman
Journal of the Franklin Institute, • 2010
View 3 Excerpts
Highly Influenced

A Sumudu based algorithm for solving differential equations

The Computer Science Journal of Moldova • 2007
View 3 Excerpts
Highly Influenced

Sumudu transform—a new integral transform to solve differential equations and control engineering problems,

G.K.Watugala
Mathematical Engineering in Industry, • 1998
View 3 Excerpts
Highly Influenced

A review of the Adomian decomposition method and its applications to fractional differential equations

J. S. Duan, R. Rach, D. Buleanu, A. M. Wazwaz
Communications in Fractional Calculus • 2012

Advanced Local Fractional Calculus and Its Applications

X. J. Yang
World Science Publisher, New York, NY, USA • 2012

Asymptotic methods for solitary solutions and compactons,

J. H. He
Abstract and Applied Analysis, • 2012
View 1 Excerpt

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