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A comparison of perturbation techniques for nonlinear problems

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Title: A comparison of perturbation techniques for nonlinear problems

Authors: H. A. Wahab, Saira Bhatti, Muhammad Naeem

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2014

Volume: 1

Issue: 1

Language: English

Keywords: Nonlinear problemsperturbation techniques

Categories
Perturbation Methods (4) Numerical Analysis (431) Applied Mathematics (727) Mathematics (5170) Nonlinear Dynamics (20)

Abstract

The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems. If the noise terms exist, the Homotopy perturbation method gives the same series solution as in Adomian Decomposition Method and we get the exact solution using two iterations only.

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