Numerical methods for nonlinear systems of equations

It is common to have nonlinear systems of equations to be solved in numerical application. However, such nonlinear systems of equations are difficult to be solved either exactly or numerically. There are several methods that can be used to solve the nonlinear systems of equations numerically such as...

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Main Author: Wong, Ee Chyn
Format: Thesis
Language:English
Published: 2014
Subjects:
Online Access:http://eprints.utm.my/40566/1/WongEeChynMFS2014.pdf
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author Wong, Ee Chyn
author_facet Wong, Ee Chyn
author_sort Wong, Ee Chyn
collection ePrints
description It is common to have nonlinear systems of equations to be solved in numerical application. However, such nonlinear systems of equations are difficult to be solved either exactly or numerically. There are several methods that can be used to solve the nonlinear systems of equations numerically such as Newton's method, quasi-Newton method, and homotopy continuation method. Some numerical examples of nonlinear systems of equations are shown in this study. Further, a heat transfer process is model as a problem that nonlinear system of equations is solved with the methods that had been mentioned earlier. The numerical results are computed by using MATLAB codes and the results are compared in order to determine the accuracy of these three methods.
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spelling utm.eprints-405662017-09-11T07:16:46Z http://eprints.utm.my/40566/ Numerical methods for nonlinear systems of equations Wong, Ee Chyn QA Mathematics It is common to have nonlinear systems of equations to be solved in numerical application. However, such nonlinear systems of equations are difficult to be solved either exactly or numerically. There are several methods that can be used to solve the nonlinear systems of equations numerically such as Newton's method, quasi-Newton method, and homotopy continuation method. Some numerical examples of nonlinear systems of equations are shown in this study. Further, a heat transfer process is model as a problem that nonlinear system of equations is solved with the methods that had been mentioned earlier. The numerical results are computed by using MATLAB codes and the results are compared in order to determine the accuracy of these three methods. 2014-01 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/40566/1/WongEeChynMFS2014.pdf Wong, Ee Chyn (2014) Numerical methods for nonlinear systems of equations. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
spellingShingle QA Mathematics
Wong, Ee Chyn
Numerical methods for nonlinear systems of equations
title Numerical methods for nonlinear systems of equations
title_full Numerical methods for nonlinear systems of equations
title_fullStr Numerical methods for nonlinear systems of equations
title_full_unstemmed Numerical methods for nonlinear systems of equations
title_short Numerical methods for nonlinear systems of equations
title_sort numerical methods for nonlinear systems of equations
topic QA Mathematics
url http://eprints.utm.my/40566/1/WongEeChynMFS2014.pdf
work_keys_str_mv AT wongeechyn numericalmethodsfornonlinearsystemsofequations