An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail

Mohd Faizail, Nurun Najwa (2018) An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail. Degree thesis, Universiti Teknologi MARA.

Abstract

Ordinary differential equations (ODE) are one of the important and widely used techniques in mathematical modelling. This method requires finding the solution theoretically. However, some of the theoretical method uses to find the solutions are extremely complicated. Least Square method is one of the numerical methods that can be used for finding an approximation for the solution of ODE without solving it theoretically. However, this method requires finding the inverse of matrix which sometime does not exist for a singular matrix. Thus, to avoid this problem Steepest Descent method is used together with Least Square method. This research analyses the efficiency of least square method and Steepest Descent method for the approximation of ODE solution numerically compared to the theoretical solution. Result shows that the numerical solution approximation is comparable to the theoretical solution without finding the true solution.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Mohd Faizail, Nurun Najwa2015431322
Contributors:
ContributionNameID Num. / Email
Thesis advisorMohd Ali, Mohd RivaieUNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Mathematical statistics. Probabilities > Data processing
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) Computational Mathematics
Item ID: 39976
Uncontrolled Keywords: Ordinary Differential Equations ; Least Square Method ; Steepest Descent Method
URI: http://ir.uitm.edu.my/id/eprint/39976

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