Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan

Wan Asri, Wan Ariesha Farhah and Dahnan, Nur Hazwani (2019) Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan. Degree thesis, Universiti Teknologi MARA.

Abstract

Solving integration problems is very important as it is commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. There are four known theoretical methods used to solve integration problems which are integration by substitution, integration by trigonometric substitution, integration by partial fraction and integration by part. However, these theoretical methods are quite complicated and leads to long and laborious calculation. Therefore, researchers tend to use numerical method which is quite simple and easy. In this project, seven numerical methods that are Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Boole’s Rule, Weddle’s Rule, Durand’s Rule and Hardy’s Rule are chosen to solve complicated integration problems. The error is analyzed using percentage error of both exact and approximate value. The main purpose of this study is to determine the best numerical methods for solving integration problems.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Wan Asri, Wan Ariesha Farhah2016289628
Dahnan, Nur Hazwani2016299114
Contributors:
ContributionNameID Num. / Email
Thesis advisorMohd Ali, Mohd RivaieUNSPECIFIED
Subjects: Q Science > QA Mathematics > Equations
Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science > 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: 41498
Uncontrolled Keywords: Numerical Integration Methods ; Substitution ; Trigonometric ; Partial Fraction ; Numerical Method ; Trapezoidal Rule
URI: http://ir.uitm.edu.my/id/eprint/41498

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