FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational science. Many attemps with deterministic up to meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to find all roots. This pa...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/39001 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational science. Many attemps with deterministic up to meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to find all roots. This paper will works on some problems of systems of nonlinear real, complex, and diophantine equations by manipulating the system of nonlinear equations into an optimization problem, then we will find all solutions using Sine Cosine Algorithm from Mirjalili (2016) and Clustering Technique from Sidarto (2015) to find all possible solutions simultaneously. And this method is improved by using Sobol sequene to increase the chance of finding all possible roots in the search space. |
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