## THERMAL SCIENCE

International Scientific Journal

### NEW APPROACH TO PARAMETERIZED HOMOTOPY PERTURBATION METHOD

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2016-12-23

PAPER REVISED: 2017-03-20

PAPER ACCEPTED: 2017-03-28

PUBLISHED ONLINE: 2018-09-10

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**4**, PAGES [1865 - 1870]

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