Comparison between newton divided-difference interpolation, lagrange interpolation and least square method for solving nonlinear equation / Nur Aniqah Fazirah Zekeri

Zekeri, Nur Aniqah Fazirah (2020) Comparison between newton divided-difference interpolation, lagrange interpolation and least square method for solving nonlinear equation / Nur Aniqah Fazirah Zekeri. [Student Project] (Unpublished)

Abstract

Mathematically, every information or statistic could be transform into a specific function by using mathematical modeling techniques. This function could be used later on to find formula, 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 formula for example Newton Divided Difference Interpolation, Lagrange Interpolation and Least Square method. These methods are chosen because they apply simple algorithm that could be understood. This research analyzed and compared the efficiency of these methods to solve nonlinear function such as trigonometric, exponential, logarithmic and polynomial function. These methods were tested using twelve test functions with different initial values and the efficiency is measured in term of absolute error. The codes are executed using Maple 17..

Metadata

Item Type: Student Project
Creators:
CreatorsEmail / ID. Num
Zekeri, Nur Aniqah Fazirah2016284368
Contributors:
ContributionNameID Num. / Email
Thesis advisorJaafar, RuhanaUNSPECIFIED
Subjects: Q Science > QA Mathematics > Equations
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
Item ID: 41501
Uncontrolled Keywords: Mathematically ; Information Or Statistic ; Newton Divided Difference Interpolation ; Lagrange Interpolation ; Least Square Method ; Logarithmic
URI: http://ir.uitm.edu.my/id/eprint/41501

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