THERMAL SCIENCE

International Scientific Journal

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Yi Tian

,

Guang-Qing Feng

A SHORT REVIEW ON APPROXIMATE ANALYTICAL METHODS FOR NON-LINEAR PROBLEMS

ABSTRACT
In this paper, some approximate analytical methods are reviewed, including the variational iteration method and the homotopy perturbation method. Based on the ideas of the two methods, a new method for solving a class of system of Fredholm integral equations of the second kind is proposed. Some examples are given to show the simple solution process and the accuracy of the solution for each method. The emphasis of this review paper focuses on Ji-Huan He's unapproachable ideas and the mathematics beauty, so the references are not exhaustive.
KEYWORDS
variational iteration method, homotopy perturbation method, Fredholm integral equation of the second kind
PAPER SUBMITTED: 2020-03-15
PAPER REVISED: 2021-10-01
PAPER ACCEPTED: 2021-10-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203607T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2607 - 2618]
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A short review on approximate analytical methods for non-linear problems

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