A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations

Joint Authors

Khalique, Chaudry Masood
Ghasempoor, Saber
Jafari, Hossein

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-24

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Civil Engineering

Abstract EN

We will compare the standard Adomian decomposition method and the homotopy perturbation method applied to obtain the solution of nonlinear functional equations.

We prove analytically that the two methods are equivalent for solving nonlinear functional equations.

In Ghorbani (2009), Ghorbani presented a new definition which he called as He’s polynomials.

In this paper, we also show that He’s polynomials are only the Adomian polynomials.

American Psychological Association (APA)

Jafari, Hossein& Ghasempoor, Saber& Khalique, Chaudry Masood. 2013. A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1032476

Modern Language Association (MLA)

Jafari, Hossein…[et al.]. A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-1032476

American Medical Association (AMA)

Jafari, Hossein& Ghasempoor, Saber& Khalique, Chaudry Masood. A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1032476

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1032476