*Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi.*Degree thesis, Universiti Teknologi MARA, Terengganu.

## Abstract

Mathematically every information or statistics could be transformed into a specific function by using mathematical modelling techniques. This function could be used later to find root(s), maximum point or minimum point and even to find the discontinuity point. A few numerical methods have been introduced in order to help mathematician to solve these functions for finding root(s) for example Bisection, Newton method and Homer’s method. These methods are chosen because they apply simple algorithm that could be understood.

This research analysed and compared the efficiency of these methods to solve nonlinear function such as trigonometric, exponential, logarithmic and cubic polynomial function.

Although the methods are considered as alternative, the methods also possess error compared to the exact value. So, error analysis conducted. The efficiency is measured by the error produced at the fixed iteration. The methods are converted into C language and executed by using Maple 18. Furthermore, the three method are measured with respect to certain tolerance.

## Metadata

Item Type: | Thesis (Degree) |
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Creators: | Creators Email / ID Num. Zamri Azuha, Abdul Zaki 2016284334 Mohd Sopi, Mohamad Aliff Haziq 2016284388 |

Contributors: | Contribution Name Email / ID Num. Thesis advisor Ab Aziz, Amiruddin UNSPECIFIED |

Subjects: | Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science > Algorithms |

Divisions: | Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences |

Programme: | Bachelor of Science (Hons) Computational Mathematics |

Keywords: | Bisection ; Newton ; Homer’s ; Trigonometric ; Exponential ; Logarithmic ; Cubic Polynomial ; Number Of Iterations ; Tolerance |

Date: | July 2019 |

URI: | https://ir.uitm.edu.my/id/eprint/39661 |

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