Open AccessSequential Algorithm of Parabolic Equation in Solving Thermal Control Process on Printed Circuit Board
Author(s) -
Zarith Safiza Abdul Ghaffar,
Norma Alias,
Fatimah Sham Ismail,
Ali H. M. Murid,
Hazrina Hassan
Publication year - 2008
Publication title -
malaysian journal of fundamental and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2289-599X
DOI - 10.11113/mjfas.v4n2.46
Subject(s) - successive over relaxation , discretization , gauss–seidel method , convergence (economics) , finite difference method , relaxation (psychology) , parabolic partial differential equation , mathematics , computation , partial differential equation , algorithm , printed circuit board , numerical analysis , finite difference , heat equation , rate of convergence , process (computing) , iterative method , computer science , mathematical analysis , local convergence , key (lock) , psychology , social psychology , economics , economic growth , operating system , computer security
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.
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