## THERMAL SCIENCE

International Scientific Journal

### A NEW TECHNOLOGY FOR SOLVING DIFFUSION AND HEAT EQUATIONS

**ABSTRACT**

In this paper, a new technology combing the variational iterative method and an integral transform similar to Sumudu transform is proposed for the first time for solutions of diffusion and heat equations. The method is accurate and efficient in development of approximate solutions for the partial differential equations.

**KEYWORDS**

PAPER SUBMITTED: 2016-04-11

PAPER REVISED: 2016-05-21

PAPER ACCEPTED: 2016-06-10

PUBLISHED ONLINE: 2016-10-01

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Issue 1**, PAGES [133 - 140]

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