Solving Ordinary Differential Equation (ODE) Using Least Square Method: Application of Steepest Descent Method
Siti Farhana Husin1, Mustafa Mamat2, Mohd Asrul Hery Ibrahim3, Mohd Rivaie4
1Siti Farhana Husin, Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia.
2Mustafa Mamat, Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia.
3Mohd Asrul Hery Ibrahim, Faculty of Entrepreneurship and Business, Universiti Malaysia Kelantan, Kelantan, Malaysia.
4Mohd Rivaie, Department of Computer Sciences and Mathematics, Universiti Teknologi MARA, Terengganu, Malaysia.
Manuscript received on 15 February 2019 | Revised Manuscript received on 06 March 2019 | Manuscript Published on 08 June 2019 | PP: 524-528 | Volume-7 Issue-5S4, February 2019 | Retrieval Number: E11110275S419/19©BEIESP
Open Access | Editorial and Publishing Policies | Cite | Mendeley | Indexing and Abstracting
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: An ordinary differential equation (ODE) is an equation and techniques that is widely used in mathematical modelling and the most mathematical formulations used in physical laws. One of the useful numerical method to solve non-homogeneous second order linear ODE is the least square method (LSM). However, the LSM requires to the use of the inverse matrix to find the solution. Hence to prevent this difficulties, this paper seeks to solve ODE by using LSM with an application of optimization method using steepest descent (SD) method.
Keywords: Ordinary Differential Equation, Least Square Method, Steepest Descent Method.
Scope of the Article: Probabilistic Models and Methods