Abstract
This paper focuses on the implementation of sequential algorithms for the simulation of parabolic equation in solving the thermal control systems. The platform of the temperature behaviour prediction is based on printed circuit board. The numerical finite-difference method (FDM) is used to design the discretization of these partial differential equations. The results of finite-difference approximation are presented graphically. Numerical methods that are used in solving the problem are the method of Jacobi, Gauss-Seidel, Red-Black Gauss-Seidel, Successive Over Relaxation (SOR) and Red-Black Successive Over Relaxation. The numerical analysis is treated done in terms of time execution, computation complexity, number of iterations, accuracy and convergence rate.
Highlights
In the sector of electrical engineering, thermal control is an important issue and has always been one of the most essential criterions
This paper is concerned with estimated peak junction temperature of semiconductor devices during the manufacturing process, which is a part of the thermal control systems
This paper concentrates on parabolic equations for heat transfer problems in solving the thermal control systems
Summary
In the sector of electrical engineering, thermal control is an important issue and has always been one of the most essential criterions. This paper is concerned with estimated peak junction temperature of semiconductor devices during the manufacturing process, which is a part of the thermal control systems. This paper concentrates on parabolic equations for heat transfer problems in solving the thermal control systems. It leads to the discretization of partial differential equations (PDEs) of heat transfer
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