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Aru, O. E.
Department of Computer Engineering, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
Chiagunye, T. T.
Department of Computer Engineering, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
Aghaizu, H. C.
Department of Computer Engineering, Enugu State University of Science and Technology, Enugu State, Nigeria.
ABSTRACT
The application of computers and computational approaches to engineering challenges has grown significantly during the last three decades. However, due to the complexity of the majority of engineering applications, analytical methods based on mathematical techniques frequently fail to provide a solution to the equations describing their behavior, necessitating the use of computational methods to gather quantitative data on important physical quantities. Even when computational methods are used, the problems of efficiency and cost of computation arise due to methods with slow convergence. In particular, it remains an open question if the solution so provided maintains a high degree of accuracy. Computer program was developed in Java programming language to solve various types of linear equations and compare the result with Gauss Seidel and Jacobi Iterations. The Cycles of iteration with software program developed to that of Gauss Seidel and Jacobi respectively for three different electric circuits analyzed are; circuit 1; 6, 7, 13, circuit 2; 21, 34, 65 and circuit 3; 17, 25, 46. The result from computing all the three methods strongly suggests the best method with the least number of iterations and, by implication, how computational cost may be reduced while improving efficiency. Taken together, this research offers a novel perspective on the possibility of faster convergence using actual engineering model challenges. Such results further underline the positive effects of the chosen method in our everyday life.
Keywords: Fast Computational Technique, Integral Transformation, Linear Algebra, Successive Over-Relaxation, Kirchhoff’s Current Law
https://doi.org/10.33922/j.ujet_v10i1_20
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View: 69 | Download: 6
Published
Tuesday, April 23, 2024
Issue
Vol. 10 No. 1, June 2024
Article Section
GENERAL
The contents of the articles are the sole opinion of the author(s) and not of UJET.
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