Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 2(1), pp. 1 - 5
DOI: 10.13189/ujes.2014.020101
Reprint (PDF) (249Kb)

Equivalence of ( A.D.M, H.P.M, A.P.M ) for Solving Functional Equations

J. Biazar , P. Shams Derakhsh ^*
Department of Mathematics, Faculty of Science University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, Iran

ABSTRACT

The Adomian's decomposition method, the Homotopy perturbation method, and lyapunov’s method are three powerful methods which consider an approximate solution of linear and non-linear equations, as an infinite series. In this paper, we show that these three methods are equivalent in solving functional equations. To illustrate the capability and reliability of the methods two examples are provided. Numerical solutions obtained by these methods are compared with the exact solutions we see that usually converging to an exact solution.

KEYWORDS
Adomian's Decomposition Method, Homotopy Perturbation Method, Artificial Small Parameter Method, Functional Equations, Infinite Series

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] J. Biazar , P. Shams Derakhsh , "Equivalence of ( A.D.M, H.P.M, A.P.M ) for Solving Functional Equations," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 2, No. 1, pp. 1 - 5, 2014. DOI: 10.13189/ujes.2014.020101.

(b). APA Format:
J. Biazar , P. Shams Derakhsh (2014). Equivalence of ( A.D.M, H.P.M, A.P.M ) for Solving Functional Equations. Universal Journal of Engineering Science(CEASE PUBLICATION), 2(1), 1 - 5. DOI: 10.13189/ujes.2014.020101.