## THERMAL SCIENCE

International Scientific Journal

### HYBRIDIZATION OF HOMOTOPY PERTURBATION METHOD AND LAPLACE TRANSFORMATION FOR THE PARTIAL DIFFERENTIAL EQUATIONS

**ABSTRACT**

Homotopy perturbation method is combined with Laplace transformation to obtain approximate analytical solutions of non-linear differential equations. An example is given to elucidate the solution process and confirm reliability of the method. The result indicates superiority of the method over the conventional homotopy perturbation method due its flexibility in choosing its initial approximation.

**KEYWORDS**

PAPER SUBMITTED: 2016-07-15

PAPER REVISED: 2016-08-26

PAPER ACCEPTED: 2016-09-04

PUBLISHED ONLINE: 2017-09-09

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**4**, PAGES [1843 - 1846]

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