Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman

Abdul Rahman, Nik Syahrul Naim (2017) Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman. Degree thesis, Universiti Teknologi MARA.

Abstract

Numerical analysis is to solve the functions for finding root by using a few numerical methods such as Secant, Fixed point and Sixth section methods to solve the functions for finding root. In this research, these methods are selected because it can be understand and has simple algorithm to use. The chosen methods are analyzed and compare it efficiency in order to solve the nonlinear function. The cubic polynomial, exponential, trigonometric, and logarithm functions are nonlinear function. For each nonlinear function, there are two difference functions were tested by using code Maple 17 software. The result is then analyzed based on the number of iterations and the central processing unit (CPU) times where it define the fastest calculation for the root. Even though, these methods are easy but it does possesses some errors compared to the exact root. So, it will produced error analysis. All three criteria are depends to a certain tolerance.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Abdul Rahman, Nik Syahrul Naim2014412296
Contributors:
ContributionNameID Num. / Email
Thesis advisorJaafar, RuhanaUNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Philosophy > Mathematical logic > Constructive mathematics > Algorithms
Q Science > QC Physics > Mathematical physics > Finite element method
Divisions: Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons) Computational Mathematics
Item ID: 40982
Uncontrolled Keywords: Fixed Point ; Sixth Section ; Secant ; Trigonometric ; Logarithm ; Cubic Polynomial
URI: http://ir.uitm.edu.my/id/eprint/40982

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