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New approach to parameterized homotopy perturbation method
Author(s) -
M. Y. Adamu,
Peter Ogenyi
Publication year - 2018
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1804865a
Subject(s) - parameterized complexity , homotopy perturbation method , homotopy , perturbation (astronomy) , homotopy analysis method , mathematics , computer science , mathematical optimization , algorithm , physics , pure mathematics , quantum mechanics
In this paper, new approach to parameterized homotopy perturbation method is presented to solve non-oscillatory problems. In contrast to the classical version of the homotopy method, optimal value of α is identified and used to obtain approximate solutions. The new approach is powerful as it effectively handled non-oscillatory problems and gives results with the smallest known errors.

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