## THERMAL SCIENCE

International Scientific Journal

### ANALYTICAL SOLUTIONS OF LINEAR DIFFUSION AND WAVE EQUATIONS IN SEMI-INFINITE DOMAINS BY USING A NEW INTEGRAL TRANSFORM

**ABSTRACT**

Recently, a new integral transform similar to Sumudu transform has been proposed by Yang [1]. Some of the properties of the integral transform are expanded in the present article. Meanwhile, new applications to the linear wave and diffusion equations in semi-infinite domains are discussed in detail. The proposed method provides an alternative approach to solve the partial differential equations in mathematical physics.

**KEYWORDS**

PAPER SUBMITTED: 2017-03-10

PAPER REVISED: 2017-05-01

PAPER ACCEPTED: 2017-05-11

PUBLISHED ONLINE: 2017-12-02

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Supplement 1**, PAGES [S71 - S78]

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