Mohammad Ali Keshvari - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Saeed Foroutani - Young Researchers and Elite Club, North Tehran Branch, Islamic Azad University, Tehran, Iran

In this study, investigates the use of integral transform for solving complex heat transfer problems. The integral transform method was used in this study as a quick analytical method for solving transient heat Conduction problems in three regions and an algorithm was thus designed for solving these types of problems. The temperature difference was measured at the boundary of the three regions, which yielded an analytical solution, and the results obtained showed an acceptable accuracy compared to the results obtained through numerical solutions. For examining further applications of integral transform, the researchers assumed a uniform heat source inside the horizontal and vertical regions to solve the problem. Temperature distribution was measured and analyzed across the entire regions. The results obtained showed that integral transform can be used with an acceptable accuracy for solving heat Conduction problems and equations

Heat Conduction, integral transform, partial differential equations, Green s function