Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi

Md Khairi, Nur Khairunnisa (2024) Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi. Degree thesis, Universiti Teknologi MARA, Terengganu.

Abstract

Numerical method can be used to solve complicated integration problem that often occurs in mathematics, data analysis, physics and other fields research. This numerical method is often used when theoretical methods are cumbersome and difficult to implement. Some numerical method for solving integration problems includes Trapezoidal method, Simpson’s 1/3 method, Trapezium-corrected Simpson’s Method (TCSM) and Cubic-corrected Simpson’s Method (CCSM). This study aims to investigate the behaviour of these numerical methods in solving different integration problem. The performance of each numerical methods is analyze based on percentage of relative error. It is showed that Simpson’s 1/3 is the best method for solving integration problems.

Metadata

Item Type:	Thesis (Degree)
Creators:	Creators Email / ID Num. Md Khairi, Nur Khairunnisa 2020473856
Contributors:	Contribution Name Email / ID Num. Thesis advisor Mohd Ali, Mohd Rivaie UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Divisions:	Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme:	Bachelor of Science (Hons.) Mathematical Modelling and Analytics
Keywords:	Numerical Method, Trapezoidal Method, Simpson’s 1/3 Method, Trapezium-Corrected Simpson’s Method (TCSM)
Date:	2024
URI:	https://ir.uitm.edu.my/id/eprint/106222